Question

What is the correct ordered pair

Answer 1

Answer:

  D. (4, -3)

Step-by-step explanation:

You only need to find the value of y to select the correct answer, so if we're going to solve this system by elimination, we should choose to eliminate the x-variable.

We can subtract 3 times the first equation from 7 times the second to eliminate x. Those multipliers will give x-terms that will cancel.

  3(7x +8y) -7(3x +2y) = 3(4) -7(6)

  21x +24y -21x -14y = 12 -42 . . . . . eliminate parentheses

  10y = -30 . . . . . . . . . . . . . . . . . . . . .collect terms

  y = -3 . . . . matches choice D