Solve the System of Equations x=2y+5 y=(2x-3)(x+9)

$x = 2 y + 5$ $y = (2 x - 3) (x + 9)$

Step 1

Replace all occurrences of $x$ with $2 y + 5$ in each equation.

Replace all occurrences of $x$ in $y = (2 x - 3) (x + 9)$ with $2 y + 5$ .

$y = (2 (2 y + 5) - 3) ((2 y + 5) + 9)$

$x = 2 y + 5$

Simplify the right side.

Simplify $(2 (2 y + 5) - 3) ((2 y + 5) + 9)$ .

Simplify terms.

Simplify each term.

Apply the distributive property.

$y = (2 (2 y) + 2 \cdot 5 - 3) ((2 y + 5) + 9)$

$x = 2 y + 5$

Multiply $2$ by $2$ .

$y = (4 y + 2 \cdot 5 - 3) ((2 y + 5) + 9)$

$x = 2 y + 5$

Multiply $2$ by $5$ .

$y = (4 y + 10 - 3) ((2 y + 5) + 9)$

$x = 2 y + 5$

$y = (4 y + 10 - 3) ((2 y + 5) + 9)$

$x = 2 y + 5$

Simplify by adding and subtracting.

Subtract $3$ from $10$ .

$y = (4 y + 7) ((2 y + 5) + 9)$

$x = 2 y + 5$

Add $5$ and $9$ .

$y = (4 y + 7) (2 y + 14)$

$x = 2 y + 5$

$y = (4 y + 7) (2 y + 14)$

$x = 2 y + 5$

$y = (4 y + 7) (2 y + 14)$

$x = 2 y + 5$

Expand $(4 y + 7) (2 y + 14)$ using the FOIL Method.

Apply the distributive property.

$y = 4 y (2 y + 14) + 7 (2 y + 14)$

$x = 2 y + 5$

Apply the distributive property.

$y = 4 y (2 y) + 4 y \cdot 14 + 7 (2 y + 14)$

$x = 2 y + 5$

Apply the distributive property.

$y = 4 y (2 y) + 4 y \cdot 14 + 7 (2 y) + 7 \cdot 14$

$x = 2 y + 5$

$y = 4 y (2 y) + 4 y \cdot 14 + 7 (2 y) + 7 \cdot 14$

$x = 2 y + 5$

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$y = 4 \cdot (2 y \cdot y) + 4 y \cdot 14 + 7 (2 y) + 7 \cdot 14$

$x = 2 y + 5$

Multiply $y$ by $y$ by adding the exponents.

Move $y$ .

$y = 4 \cdot (2 (y \cdot y)) + 4 y \cdot 14 + 7 (2 y) + 7 \cdot 14$

$x = 2 y + 5$

Multiply $y$ by $y$ .

$y = 4 \cdot (2 y^{2}) + 4 y \cdot 14 + 7 (2 y) + 7 \cdot 14$

$x = 2 y + 5$

$y = 4 \cdot (2 y^{2}) + 4 y \cdot 14 + 7 (2 y) + 7 \cdot 14$

$x = 2 y + 5$

Multiply $4$ by $2$ .

$y = 8 y^{2} + 4 y \cdot 14 + 7 (2 y) + 7 \cdot 14$

$x = 2 y + 5$

Multiply $14$ by $4$ .

$y = 8 y^{2} + 56 y + 7 (2 y) + 7 \cdot 14$

$x = 2 y + 5$

Multiply $2$ by $7$ .

$y = 8 y^{2} + 56 y + 14 y + 7 \cdot 14$

$x = 2 y + 5$

Multiply $7$ by $14$ .

$y = 8 y^{2} + 56 y + 14 y + 98$

$x = 2 y + 5$

$y = 8 y^{2} + 56 y + 14 y + 98$

$x = 2 y + 5$

Add $56 y$ and $14 y$ .

$y = 8 y^{2} + 70 y + 98$

$x = 2 y + 5$

$y = 8 y^{2} + 70 y + 98$

$x = 2 y + 5$

$y = 8 y^{2} + 70 y + 98$

$x = 2 y + 5$

$y = 8 y^{2} + 70 y + 98$

$x = 2 y + 5$

$y = 8 y^{2} + 70 y + 98$

$x = 2 y + 5$

Step 2

Solve for $y$ in $y = 8 y^{2} + 70 y + 98$ .

Since $y$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$8 y^{2} + 70 y + 98 = y$

$x = 2 y + 5$

Move all terms containing $y$ to the left side of the equation.

Subtract $y$ from both sides of the equation.

$8 y^{2} + 70 y + 98 - y = 0$

$x = 2 y + 5$

Subtract $y$ from $70 y$ .

$8 y^{2} + 69 y + 98 = 0$

$x = 2 y + 5$

$8 y^{2} + 69 y + 98 = 0$

$x = 2 y + 5$

Use the quadratic formula to find the solutions.

$\frac{- b \pm \sqrt{b^{2} - 4 (a c)}}{2 a}$

$x = 2 y + 5$

Substitute the values $a = 8$ , $b = 69$ , and $c = 98$ into the quadratic formula and solve for $y$ .

$\frac{- 69 \pm \sqrt{69^{2} - 4 \cdot (8 \cdot 98)}}{2 \cdot 8}$

$x = 2 y + 5$

Simplify.

Simplify the numerator.

Raise $69$ to the power of $2$ .

$y = \frac{- 69 \pm \sqrt{4761 - 4 \cdot 8 \cdot 98}}{2 \cdot 8}$

$x = 2 y + 5$

Multiply $- 4 \cdot 8 \cdot 98$ .

Multiply $- 4$ by $8$ .

$y = \frac{- 69 \pm \sqrt{4761 - 32 \cdot 98}}{2 \cdot 8}$

$x = 2 y + 5$

Multiply $- 32$ by $98$ .

$y = \frac{- 69 \pm \sqrt{4761 - 3136}}{2 \cdot 8}$

$x = 2 y + 5$

$y = \frac{- 69 \pm \sqrt{4761 - 3136}}{2 \cdot 8}$

$x = 2 y + 5$

Subtract $3136$ from $4761$ .

$y = \frac{- 69 \pm \sqrt{1625}}{2 \cdot 8}$

$x = 2 y + 5$

Rewrite $1625$ as $5^{2} \cdot 65$ .

Factor $25$ out of $1625$ .

$y = \frac{- 69 \pm \sqrt{25 (65)}}{2 \cdot 8}$

$x = 2 y + 5$

Rewrite $25$ as $5^{2}$ .

$y = \frac{- 69 \pm \sqrt{5^{2} \cdot 65}}{2 \cdot 8}$

$x = 2 y + 5$

$y = \frac{- 69 \pm \sqrt{5^{2} \cdot 65}}{2 \cdot 8}$

$x = 2 y + 5$

Pull terms out from under the radical.

$y = \frac{- 69 \pm 5 \sqrt{65}}{2 \cdot 8}$

$x = 2 y + 5$

$y = \frac{- 69 \pm 5 \sqrt{65}}{2 \cdot 8}$

$x = 2 y + 5$

Multiply $2$ by $8$ .

$y = \frac{- 69 \pm 5 \sqrt{65}}{16}$

$x = 2 y + 5$

$y = \frac{- 69 \pm 5 \sqrt{65}}{16}$

$x = 2 y + 5$

Simplify the expression to solve for the $+$ portion of the $\pm$ .

Simplify the numerator.

Raise $69$ to the power of $2$ .

$y = \frac{- 69 \pm \sqrt{4761 - 4 \cdot 8 \cdot 98}}{2 \cdot 8}$

$x = 2 y + 5$

Multiply $- 4 \cdot 8 \cdot 98$ .

Multiply $- 4$ by $8$ .

$y = \frac{- 69 \pm \sqrt{4761 - 32 \cdot 98}}{2 \cdot 8}$

$x = 2 y + 5$

Multiply $- 32$ by $98$ .

$y = \frac{- 69 \pm \sqrt{4761 - 3136}}{2 \cdot 8}$

$x = 2 y + 5$

$y = \frac{- 69 \pm \sqrt{4761 - 3136}}{2 \cdot 8}$

$x = 2 y + 5$

Subtract $3136$ from $4761$ .

$y = \frac{- 69 \pm \sqrt{1625}}{2 \cdot 8}$

$x = 2 y + 5$

Rewrite $1625$ as $5^{2} \cdot 65$ .

Factor $25$ out of $1625$ .

$y = \frac{- 69 \pm \sqrt{25 (65)}}{2 \cdot 8}$

$x = 2 y + 5$

Rewrite $25$ as $5^{2}$ .

$y = \frac{- 69 \pm \sqrt{5^{2} \cdot 65}}{2 \cdot 8}$

$x = 2 y + 5$

$y = \frac{- 69 \pm \sqrt{5^{2} \cdot 65}}{2 \cdot 8}$

$x = 2 y + 5$

Pull terms out from under the radical.

$y = \frac{- 69 \pm 5 \sqrt{65}}{2 \cdot 8}$

$x = 2 y + 5$

$y = \frac{- 69 \pm 5 \sqrt{65}}{2 \cdot 8}$

$x = 2 y + 5$

Multiply $2$ by $8$ .

$y = \frac{- 69 \pm 5 \sqrt{65}}{16}$

$x = 2 y + 5$

Change the $\pm$ to $+$ .

$y = \frac{- 69 + 5 \sqrt{65}}{16}$

$x = 2 y + 5$

Rewrite $- 69$ as $- 1 (69)$ .

$y = \frac{- 1 \cdot 69 + 5 \sqrt{65}}{16}$

$x = 2 y + 5$

Factor $- 1$ out of $5 \sqrt{65}$ .

$y = \frac{- 1 \cdot 69 - (- 5 \sqrt{65})}{16}$

$x = 2 y + 5$

Factor $- 1$ out of $- 1 (69) - (- 5 \sqrt{65})$ .

$y = \frac{- 1 (69 - 5 \sqrt{65})}{16}$

$x = 2 y + 5$

Move the negative in front of the fraction.

$y = - \frac{69 - 5 \sqrt{65}}{16}$

$x = 2 y + 5$

$y = - \frac{69 - 5 \sqrt{65}}{16}$

$x = 2 y + 5$

Simplify the expression to solve for the $-$ portion of the $\pm$ .

Simplify the numerator.

Raise $69$ to the power of $2$ .

$y = \frac{- 69 \pm \sqrt{4761 - 4 \cdot 8 \cdot 98}}{2 \cdot 8}$

$x = 2 y + 5$

Multiply $- 4 \cdot 8 \cdot 98$ .

Multiply $- 4$ by $8$ .

$y = \frac{- 69 \pm \sqrt{4761 - 32 \cdot 98}}{2 \cdot 8}$

$x = 2 y + 5$

Multiply $- 32$ by $98$ .

$y = \frac{- 69 \pm \sqrt{4761 - 3136}}{2 \cdot 8}$

$x = 2 y + 5$

$y = \frac{- 69 \pm \sqrt{4761 - 3136}}{2 \cdot 8}$

$x = 2 y + 5$

Subtract $3136$ from $4761$ .

$y = \frac{- 69 \pm \sqrt{1625}}{2 \cdot 8}$

$x = 2 y + 5$

Rewrite $1625$ as $5^{2} \cdot 65$ .

Factor $25$ out of $1625$ .

$y = \frac{- 69 \pm \sqrt{25 (65)}}{2 \cdot 8}$

$x = 2 y + 5$

Rewrite $25$ as $5^{2}$ .

$y = \frac{- 69 \pm \sqrt{5^{2} \cdot 65}}{2 \cdot 8}$

$x = 2 y + 5$

$y = \frac{- 69 \pm \sqrt{5^{2} \cdot 65}}{2 \cdot 8}$

$x = 2 y + 5$

Pull terms out from under the radical.

$y = \frac{- 69 \pm 5 \sqrt{65}}{2 \cdot 8}$

$x = 2 y + 5$

$y = \frac{- 69 \pm 5 \sqrt{65}}{2 \cdot 8}$

$x = 2 y + 5$

Multiply $2$ by $8$ .

$y = \frac{- 69 \pm 5 \sqrt{65}}{16}$

$x = 2 y + 5$

Change the $\pm$ to $-$ .

$y = \frac{- 69 - 5 \sqrt{65}}{16}$

$x = 2 y + 5$

Rewrite $- 69$ as $- 1 (69)$ .

$y = \frac{- 1 \cdot 69 - 5 \sqrt{65}}{16}$

$x = 2 y + 5$

Factor $- 1$ out of $- 5 \sqrt{65}$ .

$y = \frac{- 1 \cdot 69 - (5 \sqrt{65})}{16}$

$x = 2 y + 5$

Factor $- 1$ out of $- 1 (69) - (5 \sqrt{65})$ .

$y = \frac{- 1 (69 + 5 \sqrt{65})}{16}$

$x = 2 y + 5$

Move the negative in front of the fraction.

$y = - \frac{69 + 5 \sqrt{65}}{16}$

$x = 2 y + 5$

$y = - \frac{69 + 5 \sqrt{65}}{16}$

$x = 2 y + 5$

The final answer is the combination of both solutions.

$y = - \frac{69 - 5 \sqrt{65}}{16}, - \frac{69 + 5 \sqrt{65}}{16}$

$x = 2 y + 5$

$y = - \frac{69 - 5 \sqrt{65}}{16}, - \frac{69 + 5 \sqrt{65}}{16}$

$x = 2 y + 5$

Step 3

Replace all occurrences of $y$ with $- \frac{69 - 5 \sqrt{65}}{16}$ in each equation.

Replace all occurrences of $y$ in $x = 2 y + 5$ with $- \frac{69 - 5 \sqrt{65}}{16}$ .

$x = 2 (- \frac{69 - 5 \sqrt{65}}{16}) + 5$

$y = - \frac{69 - 5 \sqrt{65}}{16}$

Simplify the right side.

Simplify $2 (- \frac{69 - 5 \sqrt{65}}{16}) + 5$ .

Simplify each term.

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{69 - 5 \sqrt{65}}{16}$ into the numerator.

$x = 2 (\frac{- (69 - 5 \sqrt{65})}{16}) + 5$

$y = - \frac{69 - 5 \sqrt{65}}{16}$

Factor $2$ out of $16$ .

$x = 2 (\frac{- (69 - 5 \sqrt{65})}{2 (8)}) + 5$

$y = - \frac{69 - 5 \sqrt{65}}{16}$

Cancel the common factor.

$x = 2 (\frac{- (69 - 5 \sqrt{65})}{2 \cdot 8}) + 5$

$y = - \frac{69 - 5 \sqrt{65}}{16}$

Rewrite the expression.

$x = \frac{- (69 - 5 \sqrt{65})}{8} + 5$

$y = - \frac{69 - 5 \sqrt{65}}{16}$

$x = \frac{- (69 - 5 \sqrt{65})}{8} + 5$

$y = - \frac{69 - 5 \sqrt{65}}{16}$

Move the negative in front of the fraction.

$x = - \frac{69 - 5 \sqrt{65}}{8} + 5$

$y = - \frac{69 - 5 \sqrt{65}}{16}$

$x = - \frac{69 - 5 \sqrt{65}}{8} + 5$

$y = - \frac{69 - 5 \sqrt{65}}{16}$

To write $5$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$x = - \frac{69 - 5 \sqrt{65}}{8} + 5 \cdot \frac{8}{8}$

$y = - \frac{69 - 5 \sqrt{65}}{16}$

Combine fractions.

Combine $5$ and $\frac{8}{8}$ .

$x = - \frac{69 - 5 \sqrt{65}}{8} + \frac{5 \cdot 8}{8}$

$y = - \frac{69 - 5 \sqrt{65}}{16}$

Combine the numerators over the common denominator.

$x = \frac{- (69 - 5 \sqrt{65}) + 5 \cdot 8}{8}$

$y = - \frac{69 - 5 \sqrt{65}}{16}$

$x = \frac{- (69 - 5 \sqrt{65}) + 5 \cdot 8}{8}$

$y = - \frac{69 - 5 \sqrt{65}}{16}$

Simplify the numerator.

Apply the distributive property.

$x = \frac{- 1 \cdot 69 - (- 5 \sqrt{65}) + 5 \cdot 8}{8}$

$y = - \frac{69 - 5 \sqrt{65}}{16}$

Multiply $- 1$ by $69$ .

$x = \frac{- 69 - (- 5 \sqrt{65}) + 5 \cdot 8}{8}$

$y = - \frac{69 - 5 \sqrt{65}}{16}$

Multiply $- 5$ by $- 1$ .

$x = \frac{- 69 + 5 \sqrt{65} + 5 \cdot 8}{8}$

$y = - \frac{69 - 5 \sqrt{65}}{16}$

Multiply $5$ by $8$ .

$x = \frac{- 69 + 5 \sqrt{65} + 40}{8}$

$y = - \frac{69 - 5 \sqrt{65}}{16}$

Add $- 69$ and $40$ .

$x = \frac{- 29 + 5 \sqrt{65}}{8}$

$y = - \frac{69 - 5 \sqrt{65}}{16}$

$x = \frac{- 29 + 5 \sqrt{65}}{8}$

$y = - \frac{69 - 5 \sqrt{65}}{16}$

Simplify with factoring out.

Rewrite $- 29$ as $- 1 (29)$ .

$x = \frac{- 1 \cdot 29 + 5 \sqrt{65}}{8}$

$y = - \frac{69 - 5 \sqrt{65}}{16}$

Factor $- 1$ out of $5 \sqrt{65}$ .

$x = \frac{- 1 \cdot 29 - (- 5 \sqrt{65})}{8}$

$y = - \frac{69 - 5 \sqrt{65}}{16}$

Factor $- 1$ out of $- 1 (29) - (- 5 \sqrt{65})$ .

$x = \frac{- 1 (29 - 5 \sqrt{65})}{8}$

$y = - \frac{69 - 5 \sqrt{65}}{16}$

Move the negative in front of the fraction.

$x = - \frac{29 - 5 \sqrt{65}}{8}$

$y = - \frac{69 - 5 \sqrt{65}}{16}$

$x = - \frac{29 - 5 \sqrt{65}}{8}$

$y = - \frac{69 - 5 \sqrt{65}}{16}$

$x = - \frac{29 - 5 \sqrt{65}}{8}$

$y = - \frac{69 - 5 \sqrt{65}}{16}$

$x = - \frac{29 - 5 \sqrt{65}}{8}$

$y = - \frac{69 - 5 \sqrt{65}}{16}$

$x = - \frac{29 - 5 \sqrt{65}}{8}$

$y = - \frac{69 - 5 \sqrt{65}}{16}$

Step 4

Replace all occurrences of $y$ with $- \frac{69 + 5 \sqrt{65}}{16}$ in each equation.

Replace all occurrences of $y$ in $x = 2 y + 5$ with $- \frac{69 + 5 \sqrt{65}}{16}$ .

$x = 2 (- \frac{69 + 5 \sqrt{65}}{16}) + 5$

$y = - \frac{69 + 5 \sqrt{65}}{16}$

Simplify the right side.

Simplify $2 (- \frac{69 + 5 \sqrt{65}}{16}) + 5$ .

Simplify each term.

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{69 + 5 \sqrt{65}}{16}$ into the numerator.

$x = 2 (\frac{- (69 + 5 \sqrt{65})}{16}) + 5$

$y = - \frac{69 + 5 \sqrt{65}}{16}$

Factor $2$ out of $16$ .

$x = 2 (\frac{- (69 + 5 \sqrt{65})}{2 (8)}) + 5$

$y = - \frac{69 + 5 \sqrt{65}}{16}$

Cancel the common factor.

$x = 2 (\frac{- (69 + 5 \sqrt{65})}{2 \cdot 8}) + 5$

$y = - \frac{69 + 5 \sqrt{65}}{16}$

Rewrite the expression.

$x = \frac{- (69 + 5 \sqrt{65})}{8} + 5$

$y = - \frac{69 + 5 \sqrt{65}}{16}$

$x = \frac{- (69 + 5 \sqrt{65})}{8} + 5$

$y = - \frac{69 + 5 \sqrt{65}}{16}$

Move the negative in front of the fraction.

$x = - \frac{69 + 5 \sqrt{65}}{8} + 5$

$y = - \frac{69 + 5 \sqrt{65}}{16}$

$x = - \frac{69 + 5 \sqrt{65}}{8} + 5$

$y = - \frac{69 + 5 \sqrt{65}}{16}$

To write $5$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$x = - \frac{69 + 5 \sqrt{65}}{8} + 5 \cdot \frac{8}{8}$

$y = - \frac{69 + 5 \sqrt{65}}{16}$

Combine fractions.

Combine $5$ and $\frac{8}{8}$ .

$x = - \frac{69 + 5 \sqrt{65}}{8} + \frac{5 \cdot 8}{8}$

$y = - \frac{69 + 5 \sqrt{65}}{16}$

Combine the numerators over the common denominator.

$x = \frac{- (69 + 5 \sqrt{65}) + 5 \cdot 8}{8}$

$y = - \frac{69 + 5 \sqrt{65}}{16}$

$x = \frac{- (69 + 5 \sqrt{65}) + 5 \cdot 8}{8}$

$y = - \frac{69 + 5 \sqrt{65}}{16}$

Simplify the numerator.

Apply the distributive property.

$x = \frac{- 1 \cdot 69 - (5 \sqrt{65}) + 5 \cdot 8}{8}$

$y = - \frac{69 + 5 \sqrt{65}}{16}$

Multiply $- 1$ by $69$ .

$x = \frac{- 69 - (5 \sqrt{65}) + 5 \cdot 8}{8}$

$y = - \frac{69 + 5 \sqrt{65}}{16}$

Multiply $5$ by $- 1$ .

$x = \frac{- 69 - 5 \sqrt{65} + 5 \cdot 8}{8}$

$y = - \frac{69 + 5 \sqrt{65}}{16}$

Multiply $5$ by $8$ .

$x = \frac{- 69 - 5 \sqrt{65} + 40}{8}$

$y = - \frac{69 + 5 \sqrt{65}}{16}$

Add $- 69$ and $40$ .

$x = \frac{- 29 - 5 \sqrt{65}}{8}$

$y = - \frac{69 + 5 \sqrt{65}}{16}$

$x = \frac{- 29 - 5 \sqrt{65}}{8}$

$y = - \frac{69 + 5 \sqrt{65}}{16}$

Simplify with factoring out.

Rewrite $- 29$ as $- 1 (29)$ .

$x = \frac{- 1 \cdot 29 - 5 \sqrt{65}}{8}$

$y = - \frac{69 + 5 \sqrt{65}}{16}$

Factor $- 1$ out of $- 5 \sqrt{65}$ .

$x = \frac{- 1 \cdot 29 - (5 \sqrt{65})}{8}$

$y = - \frac{69 + 5 \sqrt{65}}{16}$

Factor $- 1$ out of $- 1 (29) - (5 \sqrt{65})$ .

$x = \frac{- 1 (29 + 5 \sqrt{65})}{8}$

$y = - \frac{69 + 5 \sqrt{65}}{16}$

Move the negative in front of the fraction.

$x = - \frac{29 + 5 \sqrt{65}}{8}$

$y = - \frac{69 + 5 \sqrt{65}}{16}$

$x = - \frac{29 + 5 \sqrt{65}}{8}$

$y = - \frac{69 + 5 \sqrt{65}}{16}$

$x = - \frac{29 + 5 \sqrt{65}}{8}$

$y = - \frac{69 + 5 \sqrt{65}}{16}$

$x = - \frac{29 + 5 \sqrt{65}}{8}$

$y = - \frac{69 + 5 \sqrt{65}}{16}$

$x = - \frac{29 + 5 \sqrt{65}}{8}$

$y = - \frac{69 + 5 \sqrt{65}}{16}$

Step 5

The solution to the system is the complete set of ordered pairs that are valid solutions.

$(- \frac{29 - 5 \sqrt{65}}{8}, - \frac{69 - 5 \sqrt{65}}{16})$

$(- \frac{29 + 5 \sqrt{65}}{8}, - \frac{69 + 5 \sqrt{65}}{16})$

Step 6

The result can be shown in multiple forms.

Point Form:

$(- \frac{29 - 5 \sqrt{65}}{8}, - \frac{69 - 5 \sqrt{65}}{16}), (- \frac{29 + 5 \sqrt{65}}{8}, - \frac{69 + 5 \sqrt{65}}{16})$

Equation Form:

$x = - \frac{29 - 5 \sqrt{65}}{8}, y = - \frac{69 - 5 \sqrt{65}}{16}$

$x = - \frac{29 + 5 \sqrt{65}}{8}, y = - \frac{69 + 5 \sqrt{65}}{16}$

Step 7

Solve the System of Equations x=2y+5 y=(2x-3)(x+9)

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