SOLUTION: solve using elimination method and check 15x+3y=-12 2x+y=8

Question 147689This question is from textbook
: solve using elimination method and check
15x+3y=-12
2x+y=8

This question is from textbook

Found 2 solutions by mangopeeler07, GKelly:
Answer by mangopeeler07(462) (Show Source): You can put this solution on YOUR website!
Multiply the second equation by -3 to be able to eliminate y. You should get . Add all that to the first equation and get . So x=-4. So plug that in to the second ORIGINAL equation and get . . So y=16. To check, plug them both in to either equation. . . It's true, so x=-4 and y=16.
Answer by GKelly(4) (Show Source): You can put this solution on YOUR website!
For elimination do the following:
Rewrite the first equation 15x + 3y = -12. Below that multiply -3 times the entire second equation to arrive at -6x - 3y = -24. When you line them up you will be able to cancel out the 3y and solve for x.
15x + 3y = -12
-6x - 3y = -24 Now cancel out the 3y and solve for x
You'll end up with 9x = -36, x = -4
Now plug -4 into the x value in the first equation and solve for y.
15(-4) + 3y = -12, -60 + 3y = -12, 3y = -12 + 60, 3y = 48, y = 16.
Take the first equation and where x is you plug in -4 and where y is you plug in 16.
15(-4) + 3(16) = -12
-60 + 48 = -12
-12 = -12
You're done!

RELATED QUESTIONS
hi, i need to solve this using elimination method and check 15x+3y=-12 (answered by jim_thompson5910)
hi, i need exact step by ste solution using elimination method and check. 15x+3y=-12 (answered by jim_thompson5910)
Solve the following system of equations using the elimination method 2x - 3y =12 -2x + (answered by Alan3354)
solve each equation by using the substitution method and the elimination method 2x+3y=0 (answered by Fombitz)
Solve for �x� and �y� given the following two equations using the elimination method: (answered by TimothyLamb)
Intermediate Algebra Solve using the elimination method. Fractions 2x + 3y = 11... (answered by nyc_function)
4) Solve the system of equations using the substitution method 5x + 2y = 4 and 3x + y (answered by stanbon)
Solve the following systems by using the Addition/Elimination Method. -2x+y=2 and... (answered by Fombitz)
Solve using any method: Substitution or Addition Method or Elimination Method y = 2x (answered by MathLover1,josgarithmetic,greenestamps)