Question

Solve the system of equations using elimination. −2x + 3y = 15 x + y = 10 a. (2, 8)b. (3, 7) c. (6, 9) d. (9, 11)

Answer 1

(b) (3, 7)

Explanation:

You want to solve this system of equations by elimination:

• -2x +3y = 15
• x +y = 10

Elimination

We can multiply the second equation by 2 and add that result to the first to eliminate the x-variable:

(-2x +3y) +2(x +y) = (15) +2(10)

5y = 35

y = 7

x = 10 -7 = 3 . . . . . from the second equation

The solution is (x, y) = (3, 7), matching choice B.

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