Question

Solve the system of equations below by elimination. (Show your work) x+2y=5 2x+6y=12

Answer 1

Answer: y = 1 & x = 3

Step 1: Multiply the first equation by -2 so that the equations cancel out the x
-2 ( x + 2y ) = 5

Step 2: Simplify
-2x -4y = - 10


Step 3: Add equations
(-2x - 4y = -10)
+ (2x + 6y = 12)
————————-
2y = 2

Step 4: Simply by dividing both sides by 2
y = 1

Step 5: Substitute y into either equation & simply
x + 2y = 5
x + 2(1) = 5
x+2=5
x=3