Question

Solve the system of equations.

Answer 1

x=1

y=0.5

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.

Answer 2

Explanation:

Step 1: Substitute y from the second equation into the first

`-4x + 3y = -2`

`-4x + 3(x - 1) = -2`

`-4x + 3x - 3 = -2`

Step 2: Solve for x

`(-4x + 3x) - 3 = -2`

`-x - 3 + 3 = -2 + 3`

`-x/-1 = 1/-1`

`x = -1`

Step 3: Plug in x into the second equation to get y

`y = x - 1`

`y = (-1) - 1`

`y = -2`

Answer:
`x = 1, y= -2`