12/10: 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

Given the equation 5y + 3w = 30 and w = 5, find the value of y.

Back

y = 3

Front

Given the equations 4x + y = 10 and y = 2x - 2, find the value of x.

Back

x = 2

Front

Given the equations 3x - 4y = 2 and y = x + 2, find the value of x.

Back

x = -10

Front

Given the equations 3x + 2y = -3 and y = -x, find the value of x.

Back

x = -3

Front

If a = 5 and 3x + a = 20, determine the value of x.

Back

x = 5

Front

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

Back

The first step is to solve one of the equations for one variable in terms of the other variable.

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 opposite side.

Front

What is a system of equations?

Back

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