Solve by Substitution x-5y=5 , -x-5y=5

Problem

{[x−5*y=5],[−x−5*y=5])

Solution

1. Isolate the variable x in the first equation by adding 5*y to both sides.

x=5*y+5

2. Substitute the expression for x into the second equation.

−(5*y+5)−5*y=5

3. Distribute the negative sign through the parentheses.

−5*y−5−5*y=5

4. Combine the like terms involving y

−10*y−5=5

5. Solve for y by adding 5 to both sides and then dividing by −10

−10*y=10

y=−1

6. Substitute the value of y back into the expression for x found in step 1.

x=5*(−1)+5

x=−5+5

x=0

Final Answer

(x,y)=(0,−1)

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