12/10: Substitution

Front

What is substitution in algebra?

Back

Substitution is a method used to solve systems of equations by replacing one variable with an expression involving another variable.

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 the other equation.

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, what is the value of x?

Back

x = 5.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to get the variable alone on one side of the equation.

Front

What is the first step in solving the equation 5y + 3w = 30 when w = 5?

Back

Substitute w = 5 into the equation to get 5y + 15 = 30.

Front

What is the solution to the equation 3x - 4y = 2 when y = x + 2?

Back

x = -10.

Front

In the equation 4x + y = 10, if y = 2x - 2, how do you find x?

Back

Substitute y = 2x - 2 into the equation to solve for x.

Front

What does it mean to substitute a value into an equation?

Back

Substituting a value means replacing a variable in the equation with a specific number to simplify or solve the equation.

Front

What is the value of y in the equation 5y + 3w = 30 when w = 5?

Back

y = 3.