Solve by Graphing 9x-5y=4 , 18x-10y=8

$9 x - 5 y = 4$ , $18 x - 10 y = 8$

Step 1

Subtract $9 x$ from both sides of the equation.

$- 5 y = 4 - 9 x$

$18 x - 10 y = 8$

Step 2

Divide each term in $- 5 y = 4 - 9 x$ by $- 5$ and simplify.

Divide each term in $- 5 y = 4 - 9 x$ by $- 5$ .

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

$18 x - 10 y = 8$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

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

$18 x - 10 y = 8$

Divide $y$ by $1$ .

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

$18 x - 10 y = 8$

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

$18 x - 10 y = 8$

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

$18 x - 10 y = 8$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

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

$18 x - 10 y = 8$

Dividing two negative values results in a positive value.

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

$18 x - 10 y = 8$

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

$18 x - 10 y = 8$

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

$18 x - 10 y = 8$

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

$18 x - 10 y = 8$

Step 3

Subtract $18 x$ from both sides of the equation.

$- 10 y = 8 - 18 x$

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

Step 4

Divide each term in $- 10 y = 8 - 18 x$ by $- 10$ and simplify.

Divide each term in $- 10 y = 8 - 18 x$ by $- 10$ .

$\frac{- 10 y}{- 10} = \frac{8}{- 10} + \frac{- 18 x}{- 10}$

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

Simplify the left side.

Cancel the common factor of $- 10$ .

Cancel the common factor.

$\frac{- 10 y}{- 10} = \frac{8}{- 10} + \frac{- 18 x}{- 10}$

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

Divide $y$ by $1$ .

$y = \frac{8}{- 10} + \frac{- 18 x}{- 10}$

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

$y = \frac{8}{- 10} + \frac{- 18 x}{- 10}$

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

$y = \frac{8}{- 10} + \frac{- 18 x}{- 10}$

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

Simplify the right side.

Simplify each term.

Cancel the common factor of $8$ and $- 10$ .

Factor $2$ out of $8$ .

$y = \frac{2 (4)}{- 10} + \frac{- 18 x}{- 10}$

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

Cancel the common factors.

Factor $2$ out of $- 10$ .

$y = \frac{2 \cdot 4}{2 \cdot - 5} + \frac{- 18 x}{- 10}$

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

Cancel the common factor.

$y = \frac{2 \cdot 4}{2 \cdot - 5} + \frac{- 18 x}{- 10}$

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

Rewrite the expression.

$y = \frac{4}{- 5} + \frac{- 18 x}{- 10}$

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

$y = \frac{4}{- 5} + \frac{- 18 x}{- 10}$

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

$y = \frac{4}{- 5} + \frac{- 18 x}{- 10}$

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

Move the negative in front of the fraction.

$y = - \frac{4}{5} + \frac{- 18 x}{- 10}$

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

Cancel the common factor of $- 18$ and $- 10$ .

Factor $- 2$ out of $- 18 x$ .

$y = - \frac{4}{5} + \frac{- 2 (9 x)}{- 10}$

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

Cancel the common factors.

Factor $- 2$ out of $- 10$ .

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

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

Cancel the common factor.

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

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

Rewrite the expression.

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

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

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

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

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

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

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

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

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

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

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

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

Step 5

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.

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

Step 6

Related Questions