Unit 4 Review: Solving System of Equations

Front

What does 'solution to a system of equations' mean?

Back

It's the point that solves both equations at the same time.

Front

Solve the system of linear equations using elimination method: 5x - 3y = -36 and 2x + 3y = 15.

Back

(-3, 7)

Front

Solve the system by substitution: 3x − 2y = 7 and y = 2x − 7.

Back

(7, 7)

Front

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

Back

(1, 3)

Front

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

Back

One solution

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 lines are the same and overlap completely.

Front

What is the elimination method?

Back

A method to solve a system of equations by adding or subtracting equations to eliminate a variable.

Front

What is the substitution method?

Back

A method to solve a system of equations by solving one equation for a variable and substituting it into the other equation.