Answer:
x=1/3 y=19/18
Step-by-step explanation:
you want to use elimination so you need the x or ys to have the same value, in this case x is easier to make do that so we choose to eliminate x by multiplying the equations to get the same coefficient in front of both xs.
3(2x+6y=7)
<u>2(3x+9y=1)</u>
6x+36y=21
<u>- (6x+18y=2)</u> then subtract to be left with just ys and you get
18y=19 next divide by 18
y=19/18 plug in for y to one of the original equations (I did the first one) in order to solve for x
2x+6(19/18)=7 simplify (6 and 18 reduced so that it is 19/3)
2x+19/3=7 -19/3 on both sides
2x=7-19/3 make a common denominator
2x=21/3 -19/3 simplify like terms
2x=2/3 divide by 2 which is the same as multiplying by 1/2
x=(2/3)(1/2) then the 2s cancel and you get
x=1/3
Hope this helps! :)
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