Question

What is the solution to the system of equations?

Answer 1

Answer:

(8 - 12 )

Step-by-step explanation:

Given

$\frac{1}{4}$ x - $\frac{1}{2}$ y = 8

$\frac{1}{2}$ x + $\frac{3}{4}$ y = - 5

Multiply both equations through by 4 to clear the fractions

x - 2y = 32 → (1)

2x + 3y = - 20 → (2)

Multiplying (1) by - 2 and adding to (2) will eliminate the x- term

- 2x + 4y = - 64 → (3)

Add (2) and (3) term by term to eliminate x

0 + 7y = - 84

7y = - 84 ( divide both sides by 7 )

y = - 12

Substitute y = - 12 into either of the 2 equations and solve for x

Substituting into (1)

x - 2(- 12) = 32

x + 24 = 32 ( subtract 24 from both sides )

x = 8

solution is (8, - 12 )