Question

Solve the system of equations without graphing.

Type the answer in the boxes below.
y =
X=
2y = x - 4
4x + 3y = 5

Answer 1

x = 2

y = -1

Explanation:

a) 2y = x - 4

a) ( -x + 2y = -4) * 4

a) -4x + 8y = - 16

b) 4x + 3y = 5

a + b

(- 4x+8y = -16) + 4x + 3y = 5)

11y = -11

y = -11/11

y = -1

b) 4x +3(-1) = 5

4x - 3 = 5

4x = 5 +3

x = 8/4

x = 2