Solve by Substitution x+2y=4 , 2x+4y=32

Problem

{[x+2*y=4],[2*x+4*y=32])

Solution

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

x=4−2*y

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

2*(4−2*y)+4*y=32

3. Distribute the constant into the parentheses.

8−4*y+4*y=32

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

8+0*y=32

5. Analyze the resulting statement.

8=32

6. Interpret the result. Since the statement 8 = 32$ is a contradiction and is never true, the system of equations has no solution. This indicates that the two lines are parallel and never intersect.

Final Answer

No solution

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