Question

SIMPLE QUESTION: Solve. Do checks. Explain.
x + 4y = 2
-x + y = 8

Systems Of Elimination/Addition
(I'm a visual learner)

Answer 1

Add the equations to eliminate x. Solve for y.
Back substitute to solve for x.
Hint for check:
x*y = -12

Answer 2

Here you go " visual learner "

x + 4y = 2
-x + y = 8
-----------add
0 + 5y = 10 (as you can see, the x's canceled each other out)
5y = 10 (divide by 5 to get y by itself)
5y/5 = 10/5
y = 2

Now sub 2 in for y in either of the original equations
x + 4y = 2
x + 4(2) = 2
x + 8 = 2 (subtract 8 from each side to get x by itself)
x + 8 - 8 = 2 - 8
x = - 6

check.....you can use any of the original equations. Now just sub 2 in for y and -6 in for x.
- x + y = 8
-(-6) + 2 = 8
6 + 2 = 8
8 = 8 (correct)

ANSWER : x = -6 and y = 2