Solve by Substitution 5x-y=-4 , -2x+y=1

Problem

{[5*x−y=−4],[−2*x+y=1])

Solution

1. Isolate the variable y in the second equation.

−2*x+y=1

y=2*x+1

2. Substitute the expression for y into the first equation.

5*x−(2*x+1)=−4

3. Distribute the negative sign and combine like terms to solve for x

5*x−2*x−1=−4

3*x−1=−4

3*x=−3

x=−1

4. Substitute the value of x back into the expression for y

y=2*(−1)+1

y=−2+1

y=−1

Final Answer

(x,y)=(−1,−1)

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