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3x - 6y = 27

3x + 4y = 17

User Fallino
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1 Answer

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Answer:x

Explanation:

solve for the x value in the first equation one and plug it into the second equation in order to find the value of the y

3x -6y = 27

3x+4y=17

solution

3x-6y =27 solve for x

3x-6y + 6y = 27 +6y

3x=27 +6y

usually you would simplify to solve for x

but in this case I would leave it as 3x because the second equation requires the value of 3x

so substituting the 27 +6y for 3x

you end up with the equation of 27+6y + 4y = 17 (combine the like terms)

27+10y = 17

subtract the 27 form both sides 10y = 17-27 which simplifies to 10y = 10

divide both sides by 10 and you get y = -1

you then take the value of y which is -1 : y = -1

3x-6y = 27

3x - 6(-1) = 27 :substitute -1 into the top equation

3x +6 = 27 : multiply the -6(-1)

3x=27-6 :subtract both sides by -6

3x = 21 divide both sides by 3

x = 7