Question

Which ordered pair is the solution to the system of equations?

x+y=4
x-y=-6


A.
(2, 2)

B.
(1, −7)

C.
(−1, 5)

D.
(−2, 4)

Answer 1

@Algorithmic

Answer 2

x+y=4
x-y=-6 Add the equations

2x=-2 Solve for x
x=-1

x+y=4 Substitute x=1 into one of the
-1+y=4 original equations and solve for y
y=1+4
y=5

x+y=4 Be sure to check your answer
-1+5=4 in both equations
4=4
x-y=-6
-1-5=-6
-6=-6

The Solution is (-1,5)