SOLUTION: Solve the system of equations using elimination. x+y= -8, -x+4y= 13

Question 511325: Solve the system of equations using elimination. x+y= -8, -x+4y= 13
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
x +y = -8
-x + 4y =13
.
multiply the first equation by 4 and then subtract
.
4x +4y = -32
-x +4y = 13
--------------
5x +0y = -45
.
x = -9
.
-(-9) + 4y = 13
9 + 4y = 13
4y = 4
y = 1
.
check
x + y = ??
-9 +1 = -8
correct
.
check
-x +4y = ??
-(-9) +4(1) = 9+4 = 13
correct
.
Answer: x=-9, y=1
.
Done.
RELATED QUESTIONS
Using the elimination to solve each system of equations {{y=3x-5 and x-y=13}} (answered by t0hierry)

Solve the system of equations by the method of elimination. -x + 4y = -11 11x - y =... (answered by Boreal)

Solve the following system of equations using substitution.y = 2 x- 2 -4x-y = 26 Solve (answered by ikleyn,Alan3354)

Solve the system of linear equations using the Gauss-Jordan elimination method x-2y=8;... (answered by MathLover1)

Solve the system of linear equations using the Elimination Method. x+4y=6... (answered by mananth)

Q.1 Solve the following question using Gauss Elimination. - 3x + 2y - 6z = 6 5x +... (answered by MathLover1)

Solve the following system of equations using substitution or elimination 3x+2y=-1... (answered by Fombitz)

solve the system of equations by using the substitution method 3x-4y=29... (answered by mananth)