Find a solution for y when 2x - 2y = -6 and 2x + 4y = 30
A) 6
B) -6
C) 3
D) -3

Question

Quizplus · Accepted Answer

To solve for y, we can eliminate x by adding the two equations together: (2x - 2y) + (2x + 4y) = -6 + 30, which simplifies to 4x + 2y = 24. Dividing the entire equation by 2 gives 2x + y = 12. However, this approach was incorrect in eliminating x directly. Correctly, subtracting the first equation from the second gives: (2x + 4y) - (2x - 2y) = 30 - (-6), simplifying to 6y = 36, and thus y = 6.

Find a Solution for Y When 2x - 2y =