323,134 views
11 votes
11 votes
What is the solution to the system of equations?

One-fourth x minus one-half y = 8
One-half x + three-fourths y = negative 5
(–8, –12)
(–8, 12)
(8, 12)
(8, –12)

User Vella
by
3.3k points

2 Answers

16 votes
16 votes

Answer:D:(8,-12)

Step-by-step explanation:took a test:D

User Sergeline
by
2.8k points
12 votes
12 votes

Answer:

(8 - 12 )

Explanation:

Given


(1)/(4) x -
(1)/(2) y = 8


(1)/(2) x +
(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 )

User Avian
by
2.4k points