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How to do this equation x-2y=12 and y=3x+14

User AbdullahC
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1 Answer

8 votes
8 votes

Answer:

(-8,-10)

Explanation:

we have the two equations x-2y=12 and y=3x+14.

I'm going to assume this is a system of equations and we are looking for the solution.

we can use the substitution method as y is "defined".

x-2y= 12

substitute y = 3x + 14

x-2(3x+14)=12

distribute

x - 6x -28 = 12

combine like terms

-5x - 28 = 12

add 28 to both sides

-5x = 40

divide both sides by -5

x = -8

Now we plug in the value of x into one of the equations and solve for y

y = 3x + 14

x = -8

y = 3(-8) + 14

y = -24 + 14

y = 10

the solution is (-8,-10)

User Hyung
by
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