Question

When using substitution to solve a system of equations, how can you tell when a system has no solution? Make a selection from the drop down menu.

A system has no solution when the resulting equation is always
Choose...
.

Answer 1

A system has no solution when the resulting equation is always **false**.

This typically occurs when you end up with a statement like \( 0 = 5 \) after substituting one equation into another, indicating that the lines represented by the equations are parallel and never intersect.