Solve the System of Equations -9x+5y=10 (36x)/5-4y=4

$- 9 x + 5 y = 10$ $\frac{36 x}{5} - 4 y = 4$

Solve for $x$ in $- 9 x + 5 y = 10$ .

Subtract $5 y$ from both sides of the equation.

$- 9 x = 10 - 5 y$

$\frac{36 x}{5} - 4 y = 4$

Divide each term in $- 9 x = 10 - 5 y$ by $- 9$ and simplify.

Divide each term in $- 9 x = 10 - 5 y$ by $- 9$ .

$\frac{- 9 x}{- 9} = \frac{10}{- 9} + \frac{- 5 y}{- 9}$

$\frac{36 x}{5} - 4 y = 4$

Simplify the left side.

Cancel the common factor of $- 9$ .

Cancel the common factor.

$\frac{- 9 x}{- 9} = \frac{10}{- 9} + \frac{- 5 y}{- 9}$

$\frac{36 x}{5} - 4 y = 4$

Divide $x$ by $1$ .

$x = \frac{10}{- 9} + \frac{- 5 y}{- 9}$

$\frac{36 x}{5} - 4 y = 4$

$x = \frac{10}{- 9} + \frac{- 5 y}{- 9}$

$\frac{36 x}{5} - 4 y = 4$

$x = \frac{10}{- 9} + \frac{- 5 y}{- 9}$

$\frac{36 x}{5} - 4 y = 4$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$x = - \frac{10}{9} + \frac{- 5 y}{- 9}$

$\frac{36 x}{5} - 4 y = 4$

Dividing two negative values results in a positive value.

$x = - \frac{10}{9} + \frac{5 y}{9}$

$\frac{36 x}{5} - 4 y = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

$\frac{36 x}{5} - 4 y = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

$\frac{36 x}{5} - 4 y = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

$\frac{36 x}{5} - 4 y = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

$\frac{36 x}{5} - 4 y = 4$

Replace all occurrences of $x$ with $- \frac{10}{9} + \frac{5 y}{9}$ in each equation.

Replace all occurrences of $x$ in $\frac{36 x}{5} - 4 y = 4$ with $- \frac{10}{9} + \frac{5 y}{9}$ .

$\frac{36 (- \frac{10}{9} + \frac{5 y}{9})}{5} - 4 y = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

Simplify the left side.

Simplify $\frac{36 (- \frac{10}{9} + \frac{5 y}{9})}{5} - 4 y$ .

Simplify each term.

Simplify the numerator.

Combine the numerators over the common denominator.

$\frac{36 (\frac{- 10 + 5 y}{9})}{5} - 4 y = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

Factor $5$ out of $- 10 + 5 y$ .

Factor $5$ out of $- 10$ .

$\frac{36 (\frac{5 \cdot - 2 + 5 y}{9})}{5} - 4 y = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

Factor $5$ out of $5 \cdot - 2 + 5 y$ .

$\frac{36 (\frac{5 (- 2 + y)}{9})}{5} - 4 y = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

$\frac{36 (\frac{5 (- 2 + y)}{9})}{5} - 4 y = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

$\frac{36 (\frac{5 (- 2 + y)}{9})}{5} - 4 y = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

Combine $36$ and $\frac{5 (- 2 + y)}{9}$ .

$\frac{\frac{36 (5 (- 2 + y))}{9}}{5} - 4 y = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

Multiply $36$ by $5$ .

$\frac{\frac{180 (- 2 + y)}{9}}{5} - 4 y = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

Reduce the expression by cancelling the common factors.

Reduce the expression $\frac{180 (- 2 + y)}{9}$ by cancelling the common factors.

Factor $9$ out of $180 (- 2 + y)$ .

$\frac{\frac{9 (20 (- 2 + y))}{9}}{5} - 4 y = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

Factor $9$ out of $9$ .

$\frac{\frac{9 (20 (- 2 + y))}{9 (1)}}{5} - 4 y = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

Cancel the common factor.

$\frac{\frac{9 (20 (- 2 + y))}{9 \cdot 1}}{5} - 4 y = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

Rewrite the expression.

$\frac{\frac{20 (- 2 + y)}{1}}{5} - 4 y = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

$\frac{\frac{20 (- 2 + y)}{1}}{5} - 4 y = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

Divide $20 (- 2 + y)$ by $1$ .

$\frac{20 (- 2 + y)}{5} - 4 y = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

$\frac{20 (- 2 + y)}{5} - 4 y = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

Cancel the common factor of $20$ and $5$ .

Factor $5$ out of $20 (- 2 + y)$ .

$\frac{5 (4 (- 2 + y))}{5} - 4 y = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

Cancel the common factors.

Factor $5$ out of $5$ .

$\frac{5 (4 (- 2 + y))}{5 (1)} - 4 y = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

Cancel the common factor.

$\frac{5 (4 (- 2 + y))}{5 \cdot 1} - 4 y = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

Rewrite the expression.

$\frac{4 (- 2 + y)}{1} - 4 y = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

Divide $4 (- 2 + y)$ by $1$ .

$4 (- 2 + y) - 4 y = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

$4 (- 2 + y) - 4 y = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

$4 (- 2 + y) - 4 y = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

Apply the distributive property.

$4 \cdot - 2 + 4 y - 4 y = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

Multiply $4$ by $- 2$ .

$- 8 + 4 y - 4 y = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

$- 8 + 4 y - 4 y = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

Combine the opposite terms in $- 8 + 4 y - 4 y$ .

Subtract $4 y$ from $4 y$ .

$- 8 + 0 = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

Add $- 8$ and $0$ .

$- 8 = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

$- 8 = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

$- 8 = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

$- 8 = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

$- 8 = 4$

$x = - \frac{10}{9} + \frac{5 y}{9}$

Since $- 8 = 4$ is not true, there is no solution.

No solution

Solve the System of Equations -9x+5y=10 (36x)/5-4y=4

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