Question

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Determine a method other than graphing that could be used to solve this system of linear equations. Explain how to
solve the system of equations using this method.
Y=-x + 6
Y= 3x + 2

Answer 1

x=1, y=5

Explanation:

Seeing as both equations are equal to y, we can set them equal to each other to solve for x:

y=-x+6

y=3x+2

...

-x+6=3x+2

6=4x+2

4=4x

x=1

Since x=1, then y is:

y=-1+6=5