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6. Which ordered pair is a solution to this system of equations below ? *7х + 5y = 59Зх — 9y = 159О(( -17, -12)О (-17, 12)О(17, -12)(17,12)

6. Which ordered pair is a solution to this system of equations below ? *7х + 5y = 59Зх-example-1
User Jan Kyu Peblik
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1 Answer

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10 votes

Answer:

(17, -12)

Step-by-step explanation:

The system of equations is

7x +5y = 59

3x - 9y = 159

An ordered pair satisfies the system if it satisfies both equations. So, for each option we need to replace the ordered pair on the given equations.

For (x, y) = (-17, -12)

7x +5y = 59

7(-17) + 5(-12) = 59

-119 - 60 = 59

-179 = 59

The equality is not satisfied, so (-17, -12) is not a solution to this system

For (x, y) = (-17, 12)

7x +5y = 59

7(-17) + 5(12) = 59

-119 + 60 = 59

-59 = 59

The equality is not satisfied, so (-17, 12) is not a solution to this system

For (x, y) = (17, -12)

7x +5y = 59

7(17) + 5(-12) = 59

119 - 60 = 59

59 = 59

3x - 9y = 159

3(17) - 9(-12) = 159

51 + 108 = 159

159 = 159

Since both equations are satisfied, so (17, -12) is a solution to the system of equations

Therefore, the answer is (17, -12)

User Dmitrievanthony
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