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

Question

x+2y=6

3x+8y=4

A. (2,2)

B. (4,10)

C. (10,-2)

D. (20,-7)

Answer 1

Hello Joycelyne

x + 2y = 6

3x + 8y =4 ( Lets multiply the first equation by -3 and add it to equation 2)

We have: -3 -6y = -18

3x +8y =4

_____________

2y = -14

____ ___

2 2

X= -7

x + 2(-7) = =6

x -14 =-6

+14 +14

__________________

x= 20

Check: 20 + 2(-7) =6 3(20) + 8(-7) = 4

20 -14 =6 60 -56 =4

6 =6 4 =4

Solution set is D

Hope this helps !