Question

Determine the solution of the following systems of linear equations using elimination. Briefly explain your work.

3x +2y = 19
2x – 3y = -6

Answer 1

triple the first:
9x + 6y = 57
double the 2nd:
4x - 6y = -12
add them:
13x = 45
x = 45/13

sub into first:
3(45/13) + 2y = 19
2y = 19 - 135/13 = 112/13
y = 56/13

I checked the answers, they are correct

Answer 2

Multiply equation 1 by 2 6x+4y=38 multiply equation 2 by 3 6x-9y=18 Subtract them, then 13y=56. So y =56/13 and after substituting, x=45/13