Solving Systems using 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 substitution in the context of solving equations?

Back

Replacing one variable with an expression derived from another equation.

Front

How do you isolate a variable in an equation?

Back

Rearranging the equation to get the variable on one side and the constant on the other.

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.

Front

Given the equations y = 2x + 3 and y = x - 1, how do you find the solution?

Back

Set 2x + 3 = x - 1 and solve for x.

Front

What is the solution to the system of equations y = 5x + 1 and y = 3x + 13?

Back

(6, 31)

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 5x + 4y = -14 and y = -7x - 15?

Back

(-2, -1)

Front

What is the solution to the system of equations y = 3x - 1 and 2x + 2y = 22?

Back

(3, 8)