# How do you solve the system 3x-7=-6 and x+2y=11 by graphing?

$x = 5$
$y = 3$

#### Explanation:

From the given equations

$3 x - 7 y = - 6 \text{ }$first equation
$x + 2 y = 11 \text{ }$second equation

$x = 11 - 2 y \text{ }$this is from the second equation. Use this is the first equation

$3 x - 7 y = - 6 \text{ }$first equation

$3 \left(11 - 2 y\right) - 7 y = - 6$

$33 - 6 y - 7 y = - 6$

$- 13 y = - 6 - 33$

$- 13 y = - 39$

$y = 3$

We go back to second equation and use $y = 3$

$x = 11 - 2 y \text{ }$

$x = 11 - 2 \left(3\right) \text{ }$

$x = 5$

God bless....I hope the explanation is useful.