Solve by Substitution x+2y=5 , x-4y=-7

Problem

{[x+2*y=5],[x−4*y=−7])

Solution

1. Isolate the variable x in the first equation by subtracting 2*y from both sides.

x=5−2*y

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

(5−2*y)−4*y=−7

3. Combine the like terms involving y on the left side.

5−6*y=−7

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

−6*y=−12

y=2

5. Substitute the value of y back into the expression for x found in step 1.

x=5−2*(2)

x=1

Final Answer

(x,y)=(1,2)

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