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-x+3y=6 X+3y=18 elimination

User Syed Waris
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1 Answer

14 votes
14 votes

Answer:

x=6 and y=4

Explanation:

Let's solve your system by elimination.

−x+3y=6; x+3y=18

−x+3y=6

x+3y=18

Add these equations to eliminate x:

6y=24

Then solve6y=24for y:

6y=24

(Divide both sides by 6)

y=4

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

−x+3y=6

Substitute 4 for y in−x+3y=6:

−x+(3)(4)=6

−x+12=6 (Simplify both sides of the equation)

−x+12+−12=6+−12 (Add -12 to both sides)

−x=−6

(Divide both sides by -1)

x=6

Answer:

x=6 and y=4

Hope this helps! :)

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User Miguelgraz
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