Let's eliminate the variable x first. To do this, multiply the first row of this system by 5 and mult. the second row by -7:
7x-5y=14 => 35x - 25y = 70
5x+7y=64 => -35x - 49y = -448
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- 74y = - 378. Then y = 378/74 = 5.11.
Subbing 5.11 for y in the first equation, we get: 7x - 5(5.11) = 14. Then:
7x = 14+25.55 = 39.54. Dividing both sides by 7: x = 39.54/7 = 2.71
The solution is (2.71, 5.11). If this does not agree with any of your answer choices, please double check to ensure that you've copied down the original problem correctly.
