Question

If solve the given system of equations by elimination

x − y = 6

x + y = 8

Choose all the correct statements:

Select one or more:

a.
Adding the two equations results in the equation 2x = 14.


b.
x = 7, y = − 1


c.
Subtracting the two equations results in the equation -2y = -2


d.
Adding the two equations results in the equation -2x = 14.

Answer 1

A and C

Explanation:

`x-y=6`

`x+y=8`

Add x and x

2x

Then add 6 and 8

2x = 14

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Subtract y and y

-2y *There is an invisible 1 so -1y - 1y = -2y*

Then subtract 6 and 8

-2y = -2

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Solution: 2x = 14, -2y = -2