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

Problem

{[x−2*y=−1],[2*x+y=4])

Solution

1. Isolate a variable in one of the equations. From the first equation, solve for x by adding 2*y to both sides.

x=2*y−1

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

2*(2*y−1)+y=4

3. Distribute the constant into the parentheses.

4*y−2+y=4

4. Combine like terms on the left side.

5*y−2=4

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

5*y=6

y=6/5

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

x=2*(6/5)−1

7. Simplify the expression to find the value of x

x=12/5−5/5

x=7/5

Final Answer

(x,y)=(7/5,6/5)

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