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Tucker was asked to solve the equation 5x + 3 = 6x + 1. He did not know if his first step should be to add 5 negative x-tiles, or 1 negative unit tile, to both sides. What advice would you give Tucker to help him decide on his first step? Explain.

Respuesta :

It does not matter which he does first. Either way, zero pairs will be created on both sides, which will isolate the variable to determine x. Adding the x-tiles and then the unit tile, or visa versa, will give the same solution.
akposevictor

In order to find the solution to the algebraic equation, Tucker can either add -5x or -1 to both sides of the equation in his first step.

What is the Solution of an Algebraic Equation?

The solution is gotten when the variable given is isolated, in order words, the value of the unknown variable is the solution.

In order to solve the equation, Turker can add -5x to both sides or add -1 to both sides as shown below:

5x + 3 - 5x = 6x + 1 - 5x

3 = x + 1

3 - 1 = x

2 = x

Or

5x + 3 - 1 = 6x + 1 - 1

5x + 2 = 6x

5x + 2 - 5x = 6x - 5x

2 = x.

Therefore, in order to find the solution to the algebraic equation, Tucker can either add -5x or -1 to both sides of the equation in his first step.

Learn more about algebraic equation on:

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