Solve by Substitution 5x-5y=-20 , -7x+5y=10

Problem

{[5*x−5*y=−20],[−7*x+5*y=10])

Solution

1. Isolate a variable in the first equation. We can solve for 5*y to make the substitution into the second equation easier.

5*x−5*y=−20

−5*y=−20−5*x

5*y=5*x+20

2. Substitute the expression for 5*y into the second equation.

−7*x+(5*x+20)=10

3. Solve for x by combining like terms and isolating the variable.

−2*x+20=10

−2*x=−10

x=5

4. Substitute the value of x back into the expression for 5*y to find y

5*y=5*(5)+20

5*y=25+20

5*y=45

y=9

Final Answer

(x,y)=(5,9)

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