Answer:
x=-1/3
y=2/3
Explanation:
16x + 5y = -2 Equation 1
4x - y=-2 Equation 2
This is simultaneous equation, it can be solved using either Elimination method or substitution method. But for the purpose of this question, we would be using elimination Method.
Multiply equation 2 by 5, the coefficient of y in equation 1. So that y can have the same coefficient, and then it will be eliminated.
5(4x - y=-2)
20x-5y=-10 Equation 3
We therefore have
16x + 5y = -2 Equation 1
20x-5y=-10 Equation 3
We add equation 1 and equation 3 to eliminate y
16x+20x=36x
5y+(-5y)=0
-2+(-10)=-2-10=-12
36x=-12
x=-12/36
x=-1/3
Substitute x for -1/3 in equation 2
4x-y=-2
4(-1/3)-y=-2
-4/3-y=-2
-4/3+2=y
(-4+6)/3=y
2/3=y