Solve by Substitution 2x+y=7 , x-y=-1

Problem

{[2*x+y=7],[x−y=−1])

Solution

1. Isolate a variable in one of the equations. From the second equation x−y=−1 we can solve for x by adding y to both sides.

x=y−1

2. Substitute the expression for x into the first equation 2*x+y=7

2*(y−1)+y=7

3. Distribute the constant into the parentheses.

2*y−2+y=7

4. Combine like terms on the left side of the equation.

3*y−2=7

5. Solve for y by adding 2 to both sides and then dividing by 3

3*y=9

y=3

6. Substitute the value of y back into the isolated equation for x to find its value.

x=3−1

x=2

Final Answer

(x,y)=(2,3)

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