Solving Systems of Equations Review

Front

Solve by elimination: 4x + 4y = 4 and 3x + 4y = 10

Back

(-6, 7)

Front

Solve the system by substitution: 5x + 4y = -14 and y = -7x - 15

Back

(-2, -1)

Front

Solve the system by substitution: x + 2y = 2 and x = -4y + 2

Back

(2, 0)

Front

What is the solution to the system: 2x + 3y = 6 and x - y = 1?

Back

(1, 3)

Front

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

Back

You will have infinite solutions.

Front

What is a system of equations?

Back

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

Front

What does it mean to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system.

Front

What is the elimination method?

Back

A method for solving systems of equations by adding or subtracting equations to eliminate a variable.

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.

Front

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

Back

The lines representing the equations are parallel and never intersect.