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Determine the solution to the following system of linear equation: y=3x-2 y=-x+6

1 Answer

2 votes

Answer:

(2, 4)

Explanation:

To solve this system, the easiest way would be to use the substitution method. You can simply plug in, or substitute the value of y from the second equation, which is -x + 6, into the first equation. So you would get:

-x + 6 = 3x - 2

6 = 4x - 2

8 = 4x

2 = x.

To find y, just substitute the value of x, which is 2, into either equation:

y = 3(2) - 2

y = 6 -2

y = 4.

Make sure you write your answer as an ordered pair! So, the final answer is (2, 4). Hope that helped! :)

User Ninthpower
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