Answer
x = -2 and y = 7/4
Step-by-step explanation:
Given the following system of equation
-5x + 8y = 24 --------------- equation 1
4x - 8y = -22 --------------- equation 2
Step 1: we need to eliminate y because the both equations has the same coefficient
To eliminate y, add equation 1 and 2 together
(-5x + 4x) + (8y - 8y) = 24 + (-22)
-x + 0 = 24 - 22
-x = 2
x = -2
To find y, put the value of x into equation 2
4x - 8y = -22
4(-2) - 8y = -22
-8 -8y = -22
Isolate 8y
-8y = -22 + 8
-8y = -14
Divide both sides by -8
-8y/-8 = -14/-8
y = 14/8
y = 7 / 4
Therefore, x = -2 and y = 7/4