How do you solve the system 4x + 7y = 6 and 6x + y = 2?

1 Answer
Mar 30, 2018

x=4/19 and y=14/19

Explanation:

We will do the elimination method. First multiply first equation by 3 and second equation by 2 so we would have

12x + 21y = 18

12x+2y \ \ = 4

Subtract first equation by second equation to obtain 19y = 14

So y=14/19

Now plug the value of y into second equation and solve for x:

6x + 14/19 = 2

6x = 24/19

x = 24/{6*19} = 4/19

So the solution is x=4/19 and y=14/19