Systems 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 the substitution method in solving systems of equations?

Back

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

Front

How do you isolate a variable in an equation?

Back

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

Front

What is the first step in using the substitution method?

Back

Choose one of the equations and solve for one variable in terms of the other.

Front

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

Back

y = 2(2) + 3 = 7.

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: y = 2x + 1 and y = 4x - 1?

Back

(1, 3).

Front

What is the solution to the system of equations: y = 8x + 1 and y = 6x + 3?

Back

(1, 9).

Front

What is the solution to the system of equations: y = 4x + 1 and 3x + 2y = 13?

Back

(1, 5).