Question

Solve: 3x-2y=10 2x+3y=-2

Graph:
Substitution:
Elimination:

Show Your work!
(I can'tfigure out how to graph it and when i used substitution and elimination it came out with two different anwsers. I got (13/3.5,19/10.5) for substitution, and ((0.2,-0.8) for Elimination.I need help, and i need to be able to show my work!)

Answer 1

3x-2y=10 2x+3y=-2

By substitution
3x - 2y = 10
2x + 3y = -2

3x = 10 + 2y
x = 10/3 + 2/3 y

2(10/3 + 2/3 y) + 3y = -2
20/3 + 4/3 y + 3y = -2
20/3 + 4/3 y + 9/3 y = -2
20/3 + 13/3 y = -2
13/3 y = -2 - 20/3
13/3 y = -6/3 - 20/3
13/3 y = - 26/3
y = -26/3 * 3/13
y = - 78/39 = -2

to find x, sub y = -2 in,
2x + 3y = -2
2x - 6 = -2
2x = 4
x = 2

So, x = 2, y = -2

By elimination
3x - 2y = 10
2x + 3y = -2

Multiply 3 (3x - 2y = 10)
9x - 6y = 30
Multiply 2 (2x + 3y = -2)
4x + 6y = -4

9x - 6y = 30
4x + 6y = -4
13x = 26
x = 2

to find y, sub x = 2 in,
2x + 3y = -2
4 + 3y = -2
3y = -6
y = -2