Question

solve the system of equations. - 4x + 3y = -2 y = x - 1 x = y =

Explanation:

Step1: Substitute y in first - equation

Substitute $y=x - 1$ into $-4x + 3y=-2$. We get $-4x+3(x - 1)=-2$.

Step2: Expand and simplify

Expand the left - hand side: $-4x+3x-3=-2$. Combine like terms: $-x-3=-2$.

Step3: Solve for x

Add 3 to both sides: $-x=-2 + 3$, so $-x=1$. Multiply both sides by - 1, then $x=-1$.

Step4: Solve for y

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

Answer:

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