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

Question

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 need help! and i need to be able to show my work!)

Answer 1

Eq1: 3X - 2Y = 10.
Eq2: 2X + 3Y = -2.

Substitution Method:

In Eq2, solve for X:
Eq2: 2X + 3Y = -2,
2X = -3Y - 2,
X = -3Y/2 - 1,

In Eq1, substitute -3Y/2 - 1 for X:
3(-3X/2 - 1) - 2Y = 10,
-9X/2 - 3 - 2Y = 10,
Multiply both sides by 2 and get:
-9X - 6 -4Y = 20,
-13Y = 20 + 6,
-13Y = 26,
Y = 26 / -13 = - 2.

In Eq2, substitute -2 for Y:
2X + 3*-2 = -2,
2X - 6 = - 2,
2X = -2 + 6,
2X = 4,
X = 4 / 2 = 2.

Solution Set = (2, -2).

Elimination Method:

Multiply Eq1 by -2 and Eq2 by 3 and get:

-6X + 4Y = -20,
+6X + 9Y = -6
Add the 2 Eqs and get:
13Y = -26,
Y = -26 / 13 = -2.

Substitute -2 for Y in Eq1:
3X - 2*-2 = 10,
3X + 4 = 10,
3X = 10 - 4,
3X = 6,
X = 6 / 3 = 2.

Solution Set = (2, -2).

GRAPH: Use the following points.

Eq1:(-2, -8) (0, -5), (2, -2).

Eq2: (-2.5, 1),(-4, 2) (2, -2).

The point where the lines intersect is the solution.