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)

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)

twizttiez · Answer

@Algorithmic

anonymous · Answer

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)