Solve the system for (x).

-4x + 2y = 2

-3x + y = 4

-4x + 2y=2 (equa ... 1)

-3x + y=4 (equa ... 2)

From equa ... 2

y=4 + 3x (equal ... 3)

Substitute y=4 + 3x into equation 1

- 4x + 2y=2 (equation 1)

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

-4x + 8x + 6x = 2

10x=2

Divide both sides by 10

x=2/10=1/5

x=1/5 or 0.2

Substitute x=0.2 into equation 1

-4x + 2y=2

-4 (0.2) + 2y=2

-4.8 + 2y=2

Collect like terms

2y=2 + 4.8

2y=6.8

Divide both side by 2

y=6.8/2

y=3.4

Hence, x=1/5 or 0.2, y=3.4