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

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Answer 1 · 2018-03-30T00:14:21

#x=4/19# and #y=14/19#

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#