What is the solution to the system of equations? 10 x plus 3 y is equal to 43 negative 9 x minus y is equal to negative 20

Rewrite the second equation, −9x − y = −20, as 9x + y = 20, so y = 20 − 9x. Substitute into the first equation: 10x + 3(20 − 9x) = 43, which simplifies to −17x = −17, giving x = 1. Then y = 20 − 9(1) = 11, so the solution is (1, 11), choice D.

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