Question

A set of equations is shown above. Which method eliminates one of the variables? A) Multiply equation A by -1/3 and add the result to equation B. B) Multiply equation B by 3 and add the result to equation A. C) Multply equation A by 2 and equation B by -6 and add the results together. D) Multiply equation B by 5 and equation A by 4 and add the results together.

Answer 1

Explanation:

Multiplying Equation A by (1/3) and adding the result to Equation B will do the trick. Let's actually solve the problem!

Equation A: (5/3)x + 3y = 12

Equation B: 4x - 3y = 8

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(5/3 + 12/3)x = 15 Note how this has eliminated the variable

(17/3)x = 15 y.

x = (3/17)(15)