Solve the system of equations.

Answer:
x=1
y=0.5
Step-by-step explanation:
-4x+3y=-2
Add 4x to both sides
3y=-2+4x
y=x-1
Multiply both sides by 3
3y=3x-1
Combine equations
-2+4x=3x-1
Subtract 3x from both sides
x-2=-1
Add 2 both sides
x=1
-4x+3y=-2
Subtract 3y from both sides
-4x=-2-3y
y=x-1
Add 1 to both sides
x=y+1
Multiply both sides by -4
-4x=y-4
Combine equations
y-4=-2-3y
Add 3y to both sides
4y-4=-2
Add 4 to both sides
4y=2
Divide both sides by 4
y=0.5
I hope it's right because this was very confusing.
Step-by-step explanation:
Step 1: Substitute y from the second equation into the first
[tex]-4x + 3y = -2[/tex]
[tex]-4x + 3(x - 1) = -2[/tex]
[tex]-4x + 3x - 3 = -2[/tex]
Step 2: Solve for x
[tex](-4x + 3x) - 3 = -2[/tex]
[tex]-x - 3 + 3 = -2 + 3[/tex]
[tex]-x/-1 = 1/-1[/tex]
[tex]x = -1[/tex]
Step 3: Plug in x into the second equation to get y
[tex]y = x - 1[/tex]
[tex]y = (-1) - 1[/tex]
[tex]y = -2[/tex]
Answer: [tex]x = 1, y= -2[/tex]