How do you solve 3x + 5y = 44 and 8x - 7y = -25?

1 Answer
May 17, 2016

y =7

x=3

Explanation:

Use simultaneous equations.

3x+5y=44
8x-7y=-25

Times the top equation by 8 and the bottom equation by 3 to make the x terms equal.

24x+40y=352
24x-21y=-75

Take the two equations away from each other. This will cancel out the x terms.

61y=427

Therefore y=427/61 =7

To find x, substitute this y value into one of the equations. So,

3x+(5xx7)=44
3x+35=44
3x=9
x=3