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Why does 10x-1=10x+4 has no solution

1 Answer

3 votes

Answer:

Simplifying

10x + 1 = 10x + -4

Reorder the terms:

1 + 10x = 10x + -4

Reorder the terms:

1 + 10x = -4 + 10x

Add '-10x' to each side of the equation.

1 + 10x + -10x = -4 + 10x + -10x

Combine like terms: 10x + -10x = 0

1 + 0 = -4 + 10x + -10x

1 = -4 + 10x + -10x

Combine like terms: 10x + -10x = 0

1 = -4 + 0

1 = -4

Solving

1 = -4

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

Explanation:


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