Solve by Substitution x-2y=6 , 2x+y=2

Problem

{[x−2*y=6],[2*x+y=2])

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+6

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

2*(2*y+6)+y=2

3. Distribute the constant into the parentheses.

4*y+12+y=2

4. Combine like terms and solve for y

5*y+12=2

5*y=−10

y=−2

5. Substitute the value of y back into the expression for x to find the second coordinate.

x=2*(−2)+6

x=−4+6

x=2

Final Answer

(x,y)=(2,−2)

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