12/2: Substitution

Front

What is substitution in algebra?

Back

Substitution is a method of solving equations by replacing a variable with a known value or another expression.

Front

How do you solve for a variable using substitution?

Back

To solve for a variable using substitution, isolate one variable in one equation and substitute that expression into another equation.

Front

If c = 4 and 2y + c = 18, what is the value of y?

Back

y = 7

Front

Given the equations 4x - y = 0 and y = 2x, how do you find the value of x?

Back

Substitute y = 2x into 4x - y = 0 to find x = 0.

Front

What is the first step to solve the equation 3x - 2y = 5 and y = x - 3?

Back

Substitute y = x - 3 into 3x - 2y = 5.

Front

If 5x + 2y = 26 and y = 2x + 4, how do you find x?

Back

Substitute y = 2x + 4 into 5x + 2y = 26 to find x = 2.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means rearranging an equation so that the variable is on one side and all other terms are on the other side.

Front

In the equation 3x + 4z = 23, if z = 2, how do you find x?

Back

Substitute z = 2 into the equation to get 3x + 8 = 23, then solve for x.

Front

What is the purpose of using substitution in solving systems of equations?

Back

The purpose is to simplify the system by reducing the number of variables, making it easier to find solutions.

Front

What is a system of equations?

Back

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