Question

Use the elimination method to solve the system of equations. Choose the

correct ordered pair.
10x+2y = 22
3x - 4y = -21
O A. (5,4)
O B. (1,6)
O C. (3,8)
O D. (2,5)

Answer 1

B.

Explanation:

We need to test each ordered pair to see which one is correct when we plug it in. Remember that ordered pairs are always (x,y)

So, let's start with A. (5,4)

x=5 y=4

Plug it into the first equation:

(10×5)+(2×4)=22 --> 50 + 8 = 22 --> 58=22

So it can't be A because when we plug it in it gives us an incorrect statement.

Now lets to B. (1,6)

Plug it into the first equation:

(10×1)+(2×6)=22 --> 10+12=22 --> 22=22

So B works for the first equation. Now we need to make sure it works for the second.

(3×1)-(4×6)=-21 --> 3-24=-21 --> -21=-21

Since B. gives us correct statements for both equations, it is our answer!

Answer 2

The anwser to this question is (1,6)