Question

Solve the following system of equations using the substitution method.
x=4 -2y
4x+8y=20

Answer 1

Using the substitution method:

{ x = 4 - 2 y
4 x + 8y = 20

Subsititute x = 4 - 2 y

[ 4(4 - 2 y ) + 8y = 20 ]

Refine:

4( 4-2y ) + 8y = 20

16 - 8 y + 8 y = 20

0 = 16 - 20

-4 = 0

-4 = 0

-4 = 0 ( is false , therefore the system of equations has no solution )

hope this helps!

Answer 2

sub 4-2y fo x
4(4-2y)+8y=20
distribute
16-8y+8y=20
16=20
false

therefor there is no solution
if we look carefully, the lines are paralell

answer is no solution