Question

Use substitution to solve the system of equations. Show your work.

Check your answer to show proof that the solution works in each equation.


`4x+y=14\\y=8+2x`

Answer 1

x = 1 , y = 10

Explanation:

Given : y = 8 + 2x

by substitution,

4x + 8 + 2x = 14
6x + 8 = 14
6x = 14 - 8
6x = 6
x = 6/6 = 1


y = 8 + 2x
y = 8 + 2(1)
y= 10

Proof :
if x = 1,

4 (1) + 8 +2 (1) = 14
4 + 8 + 2 = 14
14 = 14

if y = 10 and x = 1

4 ( 1) + 10 = 14
4 + 10 = 14
14 = 14



For both equations, LHS = RHS
Therefore Proved.


hope it helps!

Answer 2

Solve for the first variable in one of the equations, then substitute the result into the other equation.
x=1