Is (1, 1) a solution to this system of equations? 8x + 2y = 10 X + 9y = 10

asked Jan 28, 2022 43.5k views

17 votes

Is (1, 1) a solution to this system of equations?
8x + 2y = 10
X + 9y = 10

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8 votes

Answer:

Yes.

Explanation:

$8x + 2y = 10 \\ x + 9y =10 \\ x = 10 - 9y \\ 8(10 - 9y) + 2y = 10 \\ 80 - 72y + 2y = 10 \\ - 70 y = - 70 \\ y = 1 \\ x = 10 - 9y$

$x = 10 - 9 * 1 \\ x = 1$

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