Solving a system of equations by graphing and then algebraically

The video tutorial explains how to solve systems of equations using three different methods: graphing, elimination, and substitution. The instructor demonstrates each method step-by-step, highlighting the process of solving for variables and finding the point of intersection. The tutorial emphasizes understanding the algebraic and graphical approaches to finding solutions, ensuring students can apply these techniques to similar problems.

Which of the following methods is NOT mentioned as a way to solve systems of equations?

• Graphing

• Elimination

• Substitution

• Integration

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

• Substitute one equation into the other

• Multiply the equations by a constant

• Solve for y in each equation

• Add the equations together

In the graphing method, what is the significance of the point where the two lines intersect?

• It is the midpoint of the two lines

• It is where the lines are parallel

• It is the y-intercept of both lines

• It represents the solution to the system of equations

When using the elimination method, what is the goal when adding or subtracting the equations?

• To determine the y-intercept

• To graph the equations

• To eliminate one of the variables

• To find the slope of the lines

What must be done to one of the equations in the elimination method if you want to eliminate the x variable?

• Subtract the y variable

• Divide the equation by 2

• Multiply the equation by -1

• Add a constant to both sides

In the substitution method, what is the first step to solve the system of equations?

• Add the equations together

• Solve one equation for one variable

• Eliminate one variable

• Graph the equations

What do you do with the expression obtained after solving for a variable in the substitution method?

• Substitute it into the other equation

• Graph it on a coordinate plane

• Multiply it by a constant

• Add it to the original equation