Solved on Nov 15, 2023

Determine if 7x2=7(x7)7x-2=7(x-7) has one, no, or infinitely many solutions. If one, solve for xx.

STEP 1

Assumptions1. The equation given is 7x=7(x7)7x - =7(x -7). We are asked to identify if the equation has one solution, no solution, or infinitely many solutions.
3. If the equation has one solution, we are asked to solve for it.

STEP 2

First, we need to simplify the equation. We can do this by distributing the7 on the right side of the equation.
7x2=7x497x -2 =7x -49

STEP 3

Next, we can subtract 7x7x from both sides of the equation to isolate the variable on one side.
7x7x2=7x7x497x -7x -2 =7x -7x -49

STEP 4

This simplifies to2=49-2 = -49

STEP 5

We can see that 2-2 is not equal to 49-49. Therefore, the equation has no solution.The answer is no solution.

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