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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.

Respuesta :

kudzordzifrancis

Answer:

x=-1, y=8

Step-by-step 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

[tex]6x + x + 7 = 14[/tex]

6x+x=14-7

7x=7

x=1

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

[tex]y = 1+ 7 = 8[/tex]

The solution is x=1, y=8

Part B

We now verify

-1+8=7 ....True

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

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