Solving Systems Of Equations Review

Front

Solve by any method: 4x + 9y = 28; -4x - y = -28

Back

(7, 0)

Front

Solve the system by any method: 6x + y = -1; y = -3x - 4

Back

(1, -7)

Front

Solve: 7x + y = -9; -3x - y = 5

Back

(-1, -2)

Front

When you graph the exact same equation twice, what is the result?

Back

You will have infinite solutions.

Front

What is the solution to this system? y = 2x + 1; y = 4x - 1

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 a system of equations has no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

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

Back

The equations represent the same line, so every point on the line is a solution.

Front

What is the substitution method in solving systems of equations?

Back

Solving one equation for one variable and substituting that expression into the other equation.

Front

What is the elimination method in solving systems of equations?

Back

Adding or subtracting equations to eliminate one variable, making it easier to solve for the other.