ToF System of Linear Equation

A system of one linear equation in two variables is always consistent.

• True

• False

A system of two linear equations in three variables is always consistent.

• True

• False

A linear system can have exactly two solutions.

• True

• False

Two systems of linear equations are equivalent when they have the same solution set.

• True

• False

A consistent system of linear equations can have infinitely many solutions.

• True

• False

A system of linear equations with fewer equations than variables always has at least one solution.

• True

• False

If a system of linear equations has two different solutions, it must have infinitely many solutions.

• True

• False

If a system of linear equations has no free variables, then it has a unique solution.

• True

• False

Ax = 0 is always consistent

• True

• False

The y-intercept of y = 2x + 1 is (0,1)

• True

• False