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Solve each system by eliminantion: -5x+3y=6 x-y=4

User Joshlo
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2 Answers

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hope it help

you can proof it in the first equation if you want

Solve each system by eliminantion: -5x+3y=6 x-y=4-example-1
User Zobier
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Answer: x = -9 , y = -13

Explanation:

Multiply the second equation by 5, then add the equations together.

(−5x+3y=6)

5(x−y=4)

Becomes:

−5x+3y=6

5x−5y=20

Add these equations to eliminate x:

−2y=26

Then solve −2y=26 for y:

−2y = 26

Divide both sides by -2

y= -13

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

Write down an original equation:

−5x+3y=6

Substitute−13 for y in −5x+3y=6:

−5x+(3)(−13)=6

−5x−39=6 (Simplify both sides of the equation)

−5x−39+39=6+39 (Add 39 to both sides)

−5x=45

Divide both sides by -5

x = -9

User Puru
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