Question

When are there infinite solutions to a system of equations?

A. When elimination or substitution yields an always-true statement (for example, 1=1). Can also rearrange equations to see that they are actually the same equation.

B. When there are fewer equations than unknown variables.

C. When the system of equations has no solution.

D. When all coefficients in the equations are equal to zero.

Answer 1

A system of equations has infinite solutions when elimination or substitution yields an always-true statement or when the equations can be rearranged to show they are the same equation.

Step-by-step explanation:

In mathematics, a system of equations may have infinite solutions under certain conditions. The correct option is A. When elimination or substitution yields an always-true statement (for example, 1=1) or when the equations can be rearranged to show they are actually the same equation, the system will have infinite solutions.