Question

use substitution to solve the system.
$x-2y=7$
$-2x+5y=-16$
$x = \square$
$y = \square$

Explanation:

Step1: Isolate $x$ from first equation

$x = 7 + 2y$

Step2: Substitute $x$ into second equation

$-2(7 + 2y) + 5y = -16$

Step3: Simplify to solve for $y$

$-14 - 4y + 5y = -16$
$y = -16 + 14$
$y = -2$

Step4: Substitute $y$ back to find $x$

$x = 7 + 2(-2)$
$x = 7 - 4$
$x = 3$

Answer:

$x = 3$
$y = -2$