Question

use substitution to solve the system.$-4x+5y=-7$$2y+1=x$$x = square$$y = square$

Explanation:

Step1: Substitute x into first equation

Substitute $x=2y+1$ into $-4x+5y=-7$:
$-4(2y+1)+5y=-7$

Step2: Simplify and solve for y

Expand and combine like terms:
$-8y-4+5y=-7$
$-3y-4=-7$
$-3y=-7+4$
$-3y=-3$
$y=\frac{-3}{-3}=1$

Step3: Substitute y to find x

Plug $y=1$ into $x=2y+1$:
$x=2(1)+1=3$

Answer:

$x=3$
$y=1$