Systems of Equations by Substitution

Front

The first step in solving using the substitution method is __________.

Back

get either variable by itself

Front

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

Back

(0, 5)

Front

Define the variables, set up a system of equations and solve using the substitution method. What is the solution for dimensions?

Back

4 cm by 13 cm

Front

The equations of two lines are: 2x - y = 4 and y = -2x + 8. What is the value of x in the solution for this system?

Back

x=3

Front

Solve the following system using substitution: -7x - 2y = -13 and x = 2y + 11. What is the solution?

Back

(3,-4)

Front

What is a system of equations?

Back

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

Front

What does substitution mean in the context of solving equations?

Back

Replacing one variable with an expression involving another variable.

Front

What is the goal of solving a system of equations?

Back

To find 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

If y = 3x + 2, what is y when x = 4?

Back

y = 14