Question

8x+ 3y = 1
4x + 2y = 0

Solve the system of equations using elimination (10 points)

Answer 1

x = 1/2

and

y = -1

Explanation:

8x + 3y = 1

4x + 2y = 0

Multiply 4x + 2y = 0 by 2

8x + 3y = 1

8x + 4y = 0

8x + 4y = 0 minus 8x + 3y = 1

y = -1

For 8x + 3y = 1 plug in y = -1

8x + 3(-1) = 1

8x - 3 x 1 = 1

8x - 3 = 1

Add 3 to both sides

8x - 3 + 3 = 1 + 3

8x = 4

Divide both sides by 8

8x/8 (cancels out) = 4/8

x = 1/2