## Solve the system of equations by elimination: −5x+3y=2 −5x−5y=−30

Question

Solve the system of equations by elimination:

−5x+3y=2

−5x−5y=−30

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Mathematics
7 days
2021-07-22T22:50:24+00:00
2021-07-22T22:50:24+00:00 2 Answers
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## Answers ( )

Answer:(2,4)

Step-by-step explanation:multiply both sides by -1

-5x+3y=2

5x+5y=30

sum the equations vertically to eliminate at least one variable

8y=32

divide both sides by 8

8÷32=4

y=4

substitute the given value of y into the equation

-5+3×4=2

solve the equation for X

x=2

check ordered pair (2,4) is the solution of the system of equations

-5×2+3×4=2

-5×2-5×4= -30

2=2

-30=-30

solution is (2,4)

Answer: 1 : -5x + 3y = 2 Equation 2 : -5x – 5y = -30 Because both equations the system of equations by elimination.