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Match the description of a one-variable equation with the number of solutions it will have. ax = bx A. One solution B. Infinite solutions C. No solution

User Minioim
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Final answer:

A one-variable equation of the form ax = bx can have either infinite solutions or no solution, depending on whether a and b are equal or not.

Step-by-step explanation:

This is an equation with one variable, x. It is of the form ax = bx, where a and b are constants. To determine the number of solutions, we can simplify the equation by canceling out the x term on both sides. Since ax/ax = 1, and bx/bx = 1, we are left with a = b. If a and b are equal, the equation has infinite solutions because any value of x will make the equation true. If a and b are not equal, the equation has no solution because there is no value of x that will satisfy the equation.

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User Adaephon
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