Question

Use the substitution method to solve the given system of equations. 4x - 8y =8 x- 5= 2y
a.(0,1)
b.infinitely many solutions
c.no solution
d.(5,0)

Answer 1

is the answer c

Answer 2

4x - 8y = 8 (1)

x - 5 = 2y (2)

rearrange equation (1)

4(2y) = 4(x - 4) or 2y = x - 4

substitute into (2)


x - 5 = x - 4

-5 = -4

the system of equations has no solutions

this is because the lines are parallel both have a gradient of 1/2 and intercepts if y = -5/2 (2) and y = -1 (1)

Answer 3

thanks :)