EXPLANATION
Given the system of equations:
(1) 8x -4y = 16
(2) 8x + 4y = 16
Now, isolating x in the first equation:
(1) 8x = 16 + 4y
Dividing both sides by 8:
x= 16/8 +(4/8)y
Simplifying:
x = 2 + (1/2)y
Substituting x = 2 + (1/2)y in (2):
(2) 8[2+ (1/2)y] + 4y = 16
Applying the distributive property:
16 + 8*(1/2)y + 4y = 16
Subtracting -16 to both sides and multiplying like terms:
4y + 4y = 0
Adding like terms:
8y = 0
Dividing both sides by 8:
y = 0
Now, substituting y=0 in (1):
8x -4(0) = 16
Simplifying:
8x = 16
Dividing both sides by 8:
x= 16/8
Simplifying:
x=2
The solution to the system of equations is (x,y) = (2,0)