Question

use the substitution method to solve the system $\begin{cases}-x + y=-1\\4x - 3y = 2end{cases}$. your answer is $x = $, $y = $. question help: video submit question

Explanation:

Step1: Solve the first - equation for y

From $-x + y=-1$, we get $y=x - 1$.

Step2: Substitute y into the second equation

Substitute $y=x - 1$ into $4x-3y = 2$. Then $4x-3(x - 1)=2$.
Expand the left - hand side: $4x-3x + 3=2$.
Combine like terms: $x+3 = 2$.
Subtract 3 from both sides: $x=2 - 3=-1$.

Step3: Find the value of y

Substitute $x = - 1$ into $y=x - 1$. Then $y=-1 - 1=-2$.

Answer:

$x=-1$
$y=-2$