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)

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)

anonymous · Answer

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)

anonymous · Answer

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