Unit 4 Review: Solving System of Equations

Front

A system has ____________ when two lines intersect at one point.

Back

One solution.

Front

A system has ____________ when two equations have the same slope but different y-intercepts and are parallel.

Back

No solution.

Front

Which point satisfies both equations? (-2,-2), (-2,5), (4,4), (2,2)

Back

(-2,5)

Front

What is the solution to the system? (0, 3), (1, -1), (-3, 1), (1, 3)

Back

(1, 3)

Front

The first step in solving using the substitution method is __________.

Back

get either variable by itself.

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean if a system of equations has no solution?

Back

The lines are parallel and never intersect.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

The equations represent the same line.

Front

How can you determine if two lines are parallel?

Back

If they have the same slope but different y-intercepts.

Front

What is the substitution method?

Back

A method for solving systems of equations by solving one equation for one variable and substituting that expression into the other equation.