System of Equations 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?

Back

Finding the values of the variables that satisfy all equations in the system simultaneously.

Front

What is substitution in the context of solving equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into another equation.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to get the variable alone on one side of the equation.

Front

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

Back

Solve one of the equations for one variable in terms of the other variable.

Front

Given the equation x = -3y - 17, how would you substitute this into another equation?

Back

Replace x in the second equation with the expression -3y - 17.

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 = 4x - 10 and y = 3x - 5?

Back

(5, 10)

Front

What is the solution to the system of equations: y = 4x + 3 and 2x - 3y = 21?

Back

(-3, -9)

Front

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

Back

(-2, -5)