solving system of equations with 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 a system of equations by solving one equation for one variable and substituting that expression into the other equation.

Front

How do you start solving a system of equations using substitution?

Back

Isolate one variable in one of the equations.

Front

If x = 2y + 3, what is y when x = 7?

Back

y = 2.

Front

What is the first step in using substitution to solve the system: x = -3y - 8 and x - 2y = -3?

Back

Substitute -3y - 8 for x in the second equation.

Front

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

Back

The lines represented by 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

Solve using substitution: y = 2 and 2x + 8y = 20. What is x?

Back

x = 2.

Front

What is the solution to the system: x = -3y - 8 and x - 2y = -3?

Back

(-5, -1).