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

Problem

{[x−y=1],[4*x−4*y=4])

Solution

1. Isolate a variable in the first equation.

x−y=1

x=y+1

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

4*(y+1)−4*y=4

3. Distribute the constant into the parentheses.

4*y+4−4*y=4

4. Combine like terms to simplify the equation.

4=4

5. Interpret the result. Since the substitution leads to a true statement that is independent of the variables (4 = 4$), the two equations are dependent and represent the same line. This means there are infinitely many solutions.

Final Answer

Infinitely many solutions

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