Solving Systems by Substitution

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

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

Back

It involves solving one equation for one variable and substituting that expression into the other equation.

Front

How do you isolate a variable in an equation?

Back

You manipulate the equation using algebraic operations to get the variable on one side by itself.

Front

What is the first step in solving the system: y = 3 - x and 3y + x = 5?

Back

Substitute the expression for y from the first equation into the second equation.

Front

What is the solution to the system of equations: y = 3 - x and 3y + x = 5?

Back

(2, 1)

Front

What is the solution to the system of equations: y = 7x + 9 and 2y + 2x = -18?

Back

(-2, -5)

Front

What is the solution to the system of equations: x = -3y - 17 and 2x + 3y = -7?

Back

(10, -9)

Front

What is the solution to the system of equations: y = 3x - 8 and y = 4 - x?

Back

(3, 1)

Front

What is the solution to the system of equations: 2y + x = -15 and x = 3y?

Back

(-9, -3)

Front

What is the substitution method used for?

Back

To find the values of variables that satisfy all equations in a system.