Question

Kaylee writes the equation. 6x + 12 =(3x + 6). Can you find the number of solutions this equation has without solving for x? Explain step by step

Answer 1

yes, 1 solution

Explanation:

The coefficients of x are different on each side of the equal sign, so this is a linear equation in x. It has one solution.

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If the x-coefficients were the same, the equation would have no solutions if the constants were different, and infinite solutions if the constants were the same. The x-coefficients are not the same, so there is exactly one solution.