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SAT Prep

Category - Math

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Find x + y if 3x − 2y = 8 and 4x + 3y = 5.

Explanation

Answer: C - The value of x + y is 1. Solve the system of linear equations.
3x − 2y = 8 / × 3
4x + 3y = 5 / × 2
9x − 6y = 24
8x + 6y = 10
17x = 34
x = 34/2 = 2
3 × 2 − 2y = 8
6 − 2y = 8
− 2y = 8 − 6
− 2y = 2
y = − 2/2 = − 1
x + y = 2 + ( − 1) = 2 − 1 = 1

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