Systems of Equations (Substitution)

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 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 is the first step in the substitution method?

Back

Get either variable by itself.

Front

If y = 8, what is the value of y?

Back

8

Front

In the equation y = -4x + 4, what does the slope represent?

Back

The rate of change of y with respect to x.

Front

What does it mean if two lines intersect at one point?

Back

The system of equations has one unique solution.

Front

What does it mean if two lines are parallel?

Back

The system of equations has no solution.

Front

What does it mean if two lines coincide?

Back

The system of equations has infinitely many solutions.

Front

Solve the system: y = 8, y = -4x + 4. What is the solution?

Back

(-1, 8)