Question

Given the system of linear equations.

-x+y =7
6x+y=14
part A: Use substitution to find the solution to the systems of equations. Include all of your work in your final answer.
Part B: Algebraically verify your answer to Part A. Include all of your work in your final answer.

Answer 1

x=-1, y=8

Explanation:

The given system is

-x+y =7

6x+y=14

We make y the subject in the first equation to get:

y=x+7

We put y=x+7 into 6x+y=14 to obtain

`6x + x + 7 = 14`

6x+x=14-7

7x=7

x=1

We now put x=1 into y=x+7

`y = 1+ 7 = 8`

The solution is x=1, y=8

Part B

We now verify

-1+8=7 ....True

6(1)+8=14....True