Systems of Equations Next Steps with 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 substitution mean in the context of systems of equations?

Back

Substitution is a method where one equation is solved for one variable, and that expression is substituted into another equation.

Front

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

Back

Identify one equation to solve for one variable.

Front

How do you substitute a value into an equation?

Back

Replace the variable in the equation with the value you have found.

Front

What is the purpose of substituting in a system of equations?

Back

To reduce the number of variables and simplify the equations for easier solving.

Front

What is the next step after substituting a value into an equation?

Back

Simplify the equation to solve for the remaining variable.

Front

What does it mean to 'distribute' in an equation?

Back

To multiply each term inside parentheses by the term outside the parentheses.

Front

What is the result of the equation 5x + 3(-2x - 2) = -8 after distributing?

Back

5x - 6x - 6 = -8, which simplifies to -x - 6 = -8.

Front

What is the solution to the equation 2x - 3y = -12 when y = -x + 9?

Back

x = 3.

Front

What is the final step after finding the value of x in a system of equations?

Back

Substitute the value of x back into one of the original equations to find y.