# How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent 5x-y=24 and 5x+6y=-4?

$x = 4$
$y = - 4$

#### Explanation:

From the given equation
$5 x - y = 24 \text{ }$first equation
$5 x + 6 y = - 4 \text{ }$second equation

after performing subtraction

$- 7 y = 28$

$y = - 4$

Use $5 x - y = 24 \text{ }$first equation and $y = - 4$ to solve for x

$5 x - \left(- 4\right) = 24 \text{ }$first equation

$5 x + 4 = 24$

$5 x = 20$

$x = 4$

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