Question

1. Mckayla is using elimination to solve the

system below and will first add the equations
together.
5x - 2y = 42
-3x + 2y = -26

Answer 1

by using the elimination method, you would essentially add the two equations together by combining like terms. normally this would require manipulation however this equation doesn't because the y is already opposites of each other. (a negative and positive value of the same number i.e. -2 and 2)

so add the two equations together and you're left with 2x = 16, (they y's cancelled each other out) then divide two on both sides to get x = 8

now, use that x value in either equation (it doesn't matter which), we can use -3x+2y=-26

plug it in to get -3(8) + 2y = -26
which is then -24 + 2y = -26
add 24 to both sides: 2y = -2
divide 2 on both sides: y = -1

now knowing x=8 and y= -1 we can say that the answer is (8,-1)

hope this helps!!