Question

What is the value of x In the solution to the system of equations below?

6х + Зу = 13
3х - у = 4
F. 1
G. 5/3
H. 8/3
J. 7/3

Answer 1

The answer is G. 5/3

Step-by-step explanation:

I used the elimination process and multiplied the second equation by three which allowed me to cancel out the positive and negative three y's.

6x+3y=13

(3x-y=4)*3

6x+3y=13

9x-3y=12

6x+9x=15x

13+12=25

15x=25

15x/15=25/15

By dividing, the fifteens on the left cancel out leaving:

x=1.66667 or 1 2/3 = 5/3

I hope this helps. :)