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I need the steps and solution
-10x + 5y = 10
x - 5y = -28​

1 Answer

9 votes

−10x+5y=10

x−5y=−28

Rewrite equations:

x−5y=−28

−10x+5y=10

Step: Solve:

x−5y=−28

x−5y+5y=−28+5y(Add 5y to both sides)

x=5y−28

Step: Substitute:

−10x+5y=10

−10(5y−28)+5y=10

−45y+280=10(Simplify both sides of the equation)

−45y+280+−280=10+−280(Add -280 to both sides)

−45y=−270

−45y

−45

=

−270

−45

(Divide both sides by -45)

y=6

Step: Substitute:

x=5y−28

x=(5)(6)−28

x=2(Simplify both sides of the equation)

Answer:

x=2 and y=6

User Janthelme
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