The system of equations has No solution.
<u>Step-by-step explanation</u>:
step 1 :
The given system of equations are
4x-8y=-16 -------- (1)
x-2y=-8 ----------- (2)
step 2 :
Taking 4 as common from equation (1)
4(x-2y) = 4(-4)
The equation (1) becomes x-2y = -4
- Now, equations (1) and (2) have same x and y terms and only constant is different.
- Therefore, the system of equations cannot be solved for x and y values. It has no solution.
step 3 :
From equation (2), find the value for x
x-2y = -8
x = 2y-8
step 4 :
Substitute x = 2y-8 in equation (1)
4x-8y = -16
4(2y-8) -8y = -16
8y - 32 -8y = -16
8y-8y = 32-16
It cannot be solve for x and y values.
∴ The system of equations has No solution.
