Question

Use the elimination method to solve the system for x and y.
6x+2y=11
14x-3=y
Select one:
a. (1/2, 4)
b. (4, 2)
c. (4, 1/2)
d. (2, 4)

Answer 1

6x+2y=11
14x-3=y (rearrange and multiply by 2)

therefore

6x+2y=11
+ 28x-2y=6
________________
34x =17
x=17/34
x=1/2

substitute x=1/2 into 1:

6(1/2)+2y=11
3+2y=11
2y=11-3
2y=8
y=8/2
y=4

Therefore answer is a. (1/2,4)

Answer 2

14x-3=y
rearrange make 14x-y=3
then multipy by 2: 28x-2y=6