Solving a system of equations by graphing and then algebraically

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