Question

Which statement correctly explains how Kasi could find a solution to the following system of linear equations using elimination?

{-4g-15h=-17
{-g+5h=13

Answer 1

Multiply the second equation by 3 to make the h-terms cancel:
3(−g + 5h = 13) → −3g + 15h = 39.

Add this to the first equation (−4g − 15h = −17):
(−4g − 15h) + (−3g + 15h) = −17 + 39 → −7g = 22 → g = −22/7.

Substitute g into −g + 5h = 13:
−(−22/7) + 5h = 13 → 22/7 + 5h = 13 → 5h = 69/7 → h = 69/35.

Solution: (g, h) = (−22/7, 69/35).