Solve the following systems of linear equations using any algebraic method.If possible,check your solution.

Question

1)2x+5y=3
X-3y=7
2) 3y=11-2x
3x=y-11
3)8x-6y=14
12x-9y=18

Answer 1

#2:
2x + 3y = 11
3x - y = -11

multiply #2 by 3 and add:

2x+3y = 11
9x - 3y = -33
---------------
11x = -22
x = -2
now figure y: 5

Do the others likewise. To check your answers, just plug in the values and make sure the equations still balance.