SOLUTION: solve each system by the elimination method. Check each solution 3x-y=-12 x+y=4 2x+y=-15 -x-y=10 5x-y=5 -5x+2y=0 x+y=3 -3x+2y=-19

Question 583176: solve each system by the elimination method. Check each solution

3x-y=-12
x+y=4

2x+y=-15
-x-y=10

5x-y=5
-5x+2y=0

x+y=3
-3x+2y=-19
Found 2 solutions by spongetatle, solver91311:
Answer by spongetatle(6) (Show Source): You can put this solution on YOUR website!

Check the x and y values in each equation and get one of them to cancel out by multiplying one whole equation equation to make the x or y values cancel out. So pretty much you are doing this with one of the values x + -x = 0. No matter what x equals in that formula they would equal 0. However all of your problems cancel out except the last one. I'll go over the first one, the last one is the trickier one, but if you follow my directions you can do it.
3x-y=-12
x+y=4 The y's already cancel out.
3x=-12
x=4 Add both of these up.
4x=-8 Divide by 4.
x = -2 Plug newly found variable into one of the ORIGINAL equations given.
3(-2)-y=-12 Solve.
-6-y=-12 Add 6
-y=-6 Multiply by -1(or just do this in your head.)
y=6 and x=4 Plug them into the equations and check if they work.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Since you already have one variable where the coefficients in the two equations are additive inverses, i.e. -1 and 1 on the variable, simply add the equations:

You should be able to handle it from here. Once you have a value for , substitute it into either of the given equations and solve for . Remember to state your answer as an ordered pair

John

My calculator said it, I believe it, that settles it

RELATED QUESTIONS
Solve each system by the addition method. x + y = 7 X � y = 9 x � y = 12 2x (answered by nerdybill,checkley77)
This is a work sheet from my daughter's teacher. Graph the linear system and tell how... (answered by stanbon)
Solve each system of equations by the substitution method. 1) y=3x 5x+2y=44... (answered by solver91311,Alan3354)
Solve each system of equations. If no solution explain why! Substitution method x-y=3 (answered by Alan3354)
I need you to solve each system by using substitution. 6. y= -3x - 6 y= x-4 7. y= (answered by checkley71,nadinadan)
Solve each system by the substitution method. x � y = 5 2x = 2y + 14 3x + y... (answered by midwood_trail)
Solve each system by elimination. 10) x+y+z=-2 2x+2y-3z=11 3x-y+z=4 (answered by ikleyn)
Instructions: Solve each system by the elimination method. What is the solution for... (answered by checkley71)
Need to double-check this equation please: Solve the system by the addition method:... (answered by solver91311)