Question

Eliminate the y in the following equations. What is the result when you add the two equations?

x + y = 8
5x - 3y = 24

A. 6x = 32
B. 8x = 48
C. x = 0
D. 8x = 32

Answer 1

B

Explanation:

x + y = 8 → (1)

5x - 3y = 24 → (2)

multiplying (1) by 3 and adding to (2) will eliminate y

3x + 3y = 24 → (3)

add (2) and (3) term by term to eliminate y

(5x + 3x) + (- 3y + 3y) = 24 + 24

8x + 0 = 48

8x = 48