Question

Which method would be the best to solve the following system of equations? y=1/2x+6 -2x+4y=24

A. None of these methods will work.
B. Elimination
C. Substitution
D. Graphing

Answer 1

C. Substitution

But gives you infinity solitions

Solving steps:

Step: Solvey=1/2

x+6for y:

y=1/2x+6

Step: Substitute

1/2

x+6foryin−2x+4y=24:

−2x+4y=24

−2x+4(1/2x+6)=24

24=24(Simplify both sides of the equation)

24+−24=24+−24(Add -24 to both sides)

0=0