Question

What is the solution to the system of equations 2x-4y=8 and 2x+y=3? A) (2,-1) B) (1,-2) C) There is an infinite number of solutions D) There is no solutions

Answer 1

A) (2,-1)

Explanation:

2x - 4y = 8

2x + y = 3 (Multply this by -1)

-2x - y = -3

2x - 4y = 8

-5y = 5

y = -1

2x + y = 3

2x + (-1) = 3

2x - 1 = 3

2x = 4

x = 2

(x , y) ----> (2, -1)