Question

4x+10y=28
6x+7y=6

Answer 1

Let’s eliminate x:
4x + 10y = 28, so multiply both sides by 50% to get:
6x + 15y = 42, but we know that:
6x + 7y = 6, so subtract one from the other to get:
8y = 42 - 6 = 36, so
y = 36/8 = 4.5, so
10y = 45, but
4x + 10y = 4x + 45 = 28, so
4x = 28 - 45 = -17, so
x = -17/4 = -4.25
Check it:
4x + 10y = -17 + 45 = 28 Correct
6x + 7y = -25.5 + 31.5 = 6 Correct.
So x = -4.25 and y = 4.5