Question

Solve the following system and show all of your work.
x − 2y = 14
x + 3y = 9

Answer 1

x-2y=14
x+3y=9

x-2y+2y=14+2y
x=14+2y
(14+2y)+3y=9
14+5y=9
5y= -5
y= -1
x=14+2(-1)
x=14-2
x=12
(12, -1)

Answer 2

X-2y=14
X=14+2y

X+3y=9
X=9-3y

14+2y=9-3y. (+3y)
14+5y=9. (-14)
5y=-5
Y=-1

X-(2x-1)=14
X--2=14
X+2=14
X=12

X+(3x-1)=9
X+-3=9
X-3=9
X=12

Therefore X is equal to 12