Solve the System of Equations y=-3/2x-11/2 6x+y=-4

$y = - \frac{3}{2} x - \frac{11}{2}$ $6 x + y = - 4$

Simplify each term.

Combine $x$ and $\frac{3}{2}$ .

$y = - \frac{x \cdot 3}{2} - \frac{11}{2}$

$6 x + y = - 4$

Move $3$ to the left of $x$ .

$y = - \frac{3 x}{2} - \frac{11}{2}$

$6 x + y = - 4$

$y = - \frac{3 x}{2} - \frac{11}{2}$

$6 x + y = - 4$

Replace all occurrences of $y$ with $- \frac{3 x}{2} - \frac{11}{2}$ in each equation.

Replace all occurrences of $y$ in $6 x + y = - 4$ with $- \frac{3 x}{2} - \frac{11}{2}$ .

$6 x - \frac{3 x}{2} - \frac{11}{2} = - 4$

$y = - \frac{3 x}{2} - \frac{11}{2}$

Simplify the left side.

Simplify $6 x - \frac{3 x}{2} - \frac{11}{2}$ .

Remove parentheses.

$6 x - \frac{3 x}{2} - \frac{11}{2} = - 4$

$y = - \frac{3 x}{2} - \frac{11}{2}$

To write $6 x$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$6 x \cdot \frac{2}{2} - \frac{3 x}{2} - \frac{11}{2} = - 4$

$y = - \frac{3 x}{2} - \frac{11}{2}$

Combine $6 x$ and $\frac{2}{2}$ .

$\frac{6 x \cdot 2}{2} - \frac{3 x}{2} - \frac{11}{2} = - 4$

$y = - \frac{3 x}{2} - \frac{11}{2}$

Combine the numerators over the common denominator.

$\frac{6 x \cdot 2 - 3 x}{2} - \frac{11}{2} = - 4$

$y = - \frac{3 x}{2} - \frac{11}{2}$

Combine the numerators over the common denominator.

$\frac{6 x \cdot 2 - 3 x - 11}{2} = - 4$

$y = - \frac{3 x}{2} - \frac{11}{2}$

Multiply $2$ by $6$ .

$\frac{12 x - 3 x - 11}{2} = - 4$

$y = - \frac{3 x}{2} - \frac{11}{2}$

Subtract $3 x$ from $12 x$ .

$\frac{9 x - 11}{2} = - 4$

$y = - \frac{3 x}{2} - \frac{11}{2}$

$\frac{9 x - 11}{2} = - 4$

$y = - \frac{3 x}{2} - \frac{11}{2}$

$\frac{9 x - 11}{2} = - 4$

$y = - \frac{3 x}{2} - \frac{11}{2}$

$\frac{9 x - 11}{2} = - 4$

$y = - \frac{3 x}{2} - \frac{11}{2}$

Solve for $x$ in $\frac{9 x - 11}{2} = - 4$ .

Multiply both sides by $2$ .

$\frac{9 x - 11}{2} \cdot 2 = - 4 \cdot 2$

$y = - \frac{3 x}{2} - \frac{11}{2}$

Simplify.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{9 x - 11}{2} \cdot 2 = - 4 \cdot 2$

$y = - \frac{3 x}{2} - \frac{11}{2}$

Rewrite the expression.

$9 x - 11 = - 4 \cdot 2$

$y = - \frac{3 x}{2} - \frac{11}{2}$

$9 x - 11 = - 4 \cdot 2$

$y = - \frac{3 x}{2} - \frac{11}{2}$

$9 x - 11 = - 4 \cdot 2$

$y = - \frac{3 x}{2} - \frac{11}{2}$

Simplify the right side.

Multiply $- 4$ by $2$ .

$9 x - 11 = - 8$

$y = - \frac{3 x}{2} - \frac{11}{2}$

$9 x - 11 = - 8$

$y = - \frac{3 x}{2} - \frac{11}{2}$

$9 x - 11 = - 8$

$y = - \frac{3 x}{2} - \frac{11}{2}$

Solve for $x$ .

Move all terms not containing $x$ to the right side of the equation.

Add $11$ to both sides of the equation.

$9 x = - 8 + 11$

$y = - \frac{3 x}{2} - \frac{11}{2}$

Add $- 8$ and $11$ .

$9 x = 3$

$y = - \frac{3 x}{2} - \frac{11}{2}$

$9 x = 3$

$y = - \frac{3 x}{2} - \frac{11}{2}$

Divide each term in $9 x = 3$ by $9$ and simplify.

Divide each term in $9 x = 3$ by $9$ .

$\frac{9 x}{9} = \frac{3}{9}$

$y = - \frac{3 x}{2} - \frac{11}{2}$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 x}{9} = \frac{3}{9}$

$y = - \frac{3 x}{2} - \frac{11}{2}$

Divide $x$ by $1$ .

$x = \frac{3}{9}$

$y = - \frac{3 x}{2} - \frac{11}{2}$

$x = \frac{3}{9}$

$y = - \frac{3 x}{2} - \frac{11}{2}$

$x = \frac{3}{9}$

$y = - \frac{3 x}{2} - \frac{11}{2}$

Simplify the right side.

Cancel the common factor of $3$ and $9$ .

Factor $3$ out of $3$ .

$x = \frac{3 (1)}{9}$

$y = - \frac{3 x}{2} - \frac{11}{2}$

Cancel the common factors.

Factor $3$ out of $9$ .

$x = \frac{3 \cdot 1}{3 \cdot 3}$

$y = - \frac{3 x}{2} - \frac{11}{2}$

Cancel the common factor.

$x = \frac{3 \cdot 1}{3 \cdot 3}$

$y = - \frac{3 x}{2} - \frac{11}{2}$

Rewrite the expression.

$x = \frac{1}{3}$

$y = - \frac{3 x}{2} - \frac{11}{2}$

$x = \frac{1}{3}$

$y = - \frac{3 x}{2} - \frac{11}{2}$

$x = \frac{1}{3}$

$y = - \frac{3 x}{2} - \frac{11}{2}$

$x = \frac{1}{3}$

$y = - \frac{3 x}{2} - \frac{11}{2}$

$x = \frac{1}{3}$

$y = - \frac{3 x}{2} - \frac{11}{2}$

$x = \frac{1}{3}$

$y = - \frac{3 x}{2} - \frac{11}{2}$

$x = \frac{1}{3}$

$y = - \frac{3 x}{2} - \frac{11}{2}$

Replace all occurrences of $x$ with $\frac{1}{3}$ in each equation.

Replace all occurrences of $x$ in $y = - \frac{3 x}{2} - \frac{11}{2}$ with $\frac{1}{3}$ .

$y = - \frac{3 (\frac{1}{3})}{2} - \frac{11}{2}$

$x = \frac{1}{3}$

Simplify the right side.

Simplify $- \frac{3 (\frac{1}{3})}{2} - \frac{11}{2}$ .

Combine the numerators over the common denominator.

$y = \frac{- 3 (\frac{1}{3}) - 11}{2}$

$x = \frac{1}{3}$

Cancel the common factor of $3$ .

Factor $3$ out of $- 3$ .

$y = \frac{3 (- 1) (\frac{1}{3}) - 11}{2}$

$x = \frac{1}{3}$

Cancel the common factor.

$y = \frac{3 \cdot (- 1 (\frac{1}{3})) - 11}{2}$

$x = \frac{1}{3}$

Rewrite the expression.

$y = \frac{- 1 - 11}{2}$

$x = \frac{1}{3}$

$y = \frac{- 1 - 11}{2}$

$x = \frac{1}{3}$

Simplify the expression.

Subtract $11$ from $- 1$ .

$y = \frac{- 12}{2}$

$x = \frac{1}{3}$

Divide $- 12$ by $2$ .

$y = - 6$

$x = \frac{1}{3}$

$y = - 6$

$x = \frac{1}{3}$

$y = - 6$

$x = \frac{1}{3}$

$y = - 6$

$x = \frac{1}{3}$

$y = - 6$

$x = \frac{1}{3}$

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

$(\frac{1}{3}, - 6)$

The result can be shown in multiple forms.

Point Form:

$(\frac{1}{3}, - 6)$

Equation Form:

$x = \frac{1}{3}, y = - 6$

Solve the System of Equations y=-3/2x-11/2 6x+y=-4

Related Questions

Support LCMGCF.com by disabling your adblocker.