Question

To eliminate the y terms and solve for x in the fewest steps, by which constants should the equations be multiplied?

First equation: 4x − 3y = 34
Second equation: 3x + 2y = 17

Answer 1

the answer is C

Explanation:

Answer 2

see explanation

Explanation:

Given the 2 equations

4x - 3y = 34 → (1)

3x + 2y = 17 → (2)

Multiply (1) by 2 and (2) by 3 to eliminate the term in y

8x - 6y = 68 → (3)

9x + 6y = 51 → (4)

Adding (3) and (4) term by term allows x to be found

17x = 119 ⇒ x = 7