Solve by Substitution y=8x-9 y=7

$y = 8 x - 9$ $y = 7$

Eliminate the equal sides of each equation and combine.

$8 x - 9 = 7$

Solve $8 x - 9 = 7$ for $x$ .

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

Add $9$ to both sides of the equation.

$8 x = 7 + 9$

Add $7$ and $9$ .

$8 x = 16$

Divide each term in $8 x = 16$ by $8$ and simplify.

Divide each term in $8 x = 16$ by $8$ .

$\frac{8 x}{8} = \frac{16}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 x}{8} = \frac{16}{8}$

Divide $x$ by $1$ .

$x = \frac{16}{8}$

Simplify the right side.

Divide $16$ by $8$ .

$x = 2$

Substitute $2$ for $x$ .

$y = 7$

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

$(2, 7)$

The result can be shown in multiple forms.

Point Form:

$(2, 7)$

Equation Form:

$x = 2, y = 7$