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Which ordered pair is a solution to the system of linear equations? x + 2y = 2 y = −2x − 2 (−2, −2) (−2, 2) (2, 2) (2, −2)

User Benhsu
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1 Answer

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Answer

to solve, plug the value of the variables in each equation in the system

(1,2) means x = 1 and y = 2

y = -2x + 4

2 = -2(1) + 4

2 = -2 + 4

2 = 2

the ordered pair is a solution to the first equation

7x - 2y = 3

7(1) - 2(2) = 3

7 - 4 = 3

3 = 3

the ordered pair is a solution for the second equation

Because the ordered pair is a solution for BOTH equations in the system, it is a solution to the system. Therefore, the correct answers are:

"When (1,2) is substituted into the first equation, the equation is true."

"The ordered pair (1,2) is a solution to the system of linear equations."

"When (1,2) is substituted into the second equation, the equation is true."

Hope this helps!

User Zak Kus
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