Systems of Equations by Substitution

Front

What is the first step in solving a system of equations using the substitution method?

Back

Get either variable by itself.

Front

Solve the system of equations by elimination: -x + y = -13 and -8x - 4y = -8.

Back

(5, -8)

Front

Define the variables, set up a system of equations and solve using the substitution method: What are the dimensions if the answer is 4 cm by 13 cm?

Back

4 cm by 13 cm.

Front

Which equation represents the number of shirts when both companies charge the same amount?

Back

y = 9.65x + 43 and y = 8.40x + 58.

Front

What is the solution to the system of equations: y = -6x + 5 and -2x + y = 5?

Back

(0, 5)

Front

What does it mean to solve a system of equations by substitution?

Back

It means to solve one equation for one variable and substitute that expression into the other equation.

Front

What is a system of equations?

Back

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

Front

What is the substitution method?

Back

A method for solving systems of equations by expressing one variable in terms of the other and substituting.

Front

How do you check the solution of a system of equations?

Back

Substitute the solution back into the original equations to see if they hold true.

Front

What is the graphical representation of a system of equations?

Back

The point(s) where the lines representing the equations intersect.