Solving Systems by 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 solving systems of equations?

Back

Substitution involves solving one equation for one variable and then substituting that expression into another equation.

Front

What is the first step in solving a system by substitution?

Back

Make sure at least one equation is solved for one variable.

Front

How do you isolate a variable in an equation?

Back

You rearrange the equation to get the variable on one side and all other terms on the opposite side.

Front

What is the slope-intercept form of a linear equation?

Back

Front

What does it mean for equations to be in standard form?

Back

Front

What is the purpose of substituting one equation into another?

Back

To reduce the number of variables and simplify the problem to find the values of the variables.

Front

What is an example of a substitution step?

Back

Front

What is a common mistake when using substitution?

Back

Forgetting to substitute correctly or miscalculating after substitution.

Front

What is the graphical interpretation of a system of equations?

Back

The solutions to the system are the points where the graphs of the equations intersect.