Solve by Substitution 4x+2y=12 , x+2y=6

Problem

{[4*x+2*y=12],[x+2*y=6])

Solution

1. Isolate a variable in one of the equations. We can solve the second equation for x by subtracting 2*y from both sides.

x=6−2*y

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

4*(6−2*y)+2*y=12

3. Distribute the constant into the parentheses.

24−8*y+2*y=12

4. Combine the like terms involving y

24−6*y=12

5. Solve for y by subtracting 24 from both sides and then dividing by −6

−6*y=−12

y=2

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

x=6−2*(2)

x=6−4

x=2

Final Answer

(x,y)=(2,2)

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