Review Test: System of Equations

Front

Solve by elimination: 4x + 9y = 28 and -4x - y = -28

Back

(7, 0)

Front

Solve by elimination: 5x + 6y = -10 and 3x - 2y = -6

Back

(-2, 0)

Front

How many solutions will this system have? 2x + 4y = 8 and x + 2y = 4

Back

Infinitely Many Solutions

Front

If a system of linear equations has one solution, what does this mean about the two lines?

Back

Intersecting lines

Front

Solve the following system by graphing: y = 2x + 1 and y = -x + 4. What is the solution?

Back

(1, 3)

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 two lines are parallel in a system of equations?

Back

They have no solutions.

Front

What is the graphical representation of a system with infinitely many solutions?

Back

The two lines overlap.

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 one variable and substituting it into the other equation.