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Anastasy [175]
2 years ago
7

Solve the system of linear equations by elimination. 9x+2y=39 6x+13y=−9

Mathematics
1 answer:
vodomira [7]2 years ago
3 0

y = -3

x = 5

Explanation:

9x + 2y = 39  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  (2)\\ 6x + 13y =  - 9 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: ( - 3) \\  \\ 18x + 4y = 78 \\  - 18x - 39y = 27 \\  \\  - 35y = 105 \\ y =  \frac{105}{ - 35}  \\ y =  - 3 \\  \\  \\ 9x + 2y = 39 \\ 9x + 2( - 3) = 39 \\ 9x - 6 = 39 \\ 9x = 39 + 6 \\ 9x = 45 \\ x =  \frac{45}{9}  \\ x = 5

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