Method for Solving Systems of Equations

What is the first step in using the substitution method to solve a system of equations?

• Solve one of the equations for one variable in terms of the other variable

• Multiply both equations by a random number

• Graph the equations on the same coordinate plane

• Add both equations together

When using the elimination method, what do you do if the coefficients of one of the variables are already the same?

• Add the equations directly

• Subtract the equations directly

• Multiply the equations

• Divide the equations

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

• Graph each equation on the same coordinate plane

• Solve for x first

• Use substitution method

• Plot the points on a scatter plot

In the graphing method, how do you find the solution to the system of equations?

• By using substitution method

• By solving for x and y separately

• By randomly picking a point on the graph

• By graphing the equations on the same coordinate plane and finding the point of intersection.

What is the value of z in the solution of the system?

Mathematical Equivalence

ON

Which method would be best (quickest) for solving the system below:
x + y = 11
3x - 4y = -2

• Substitution

• Elimination

• Graphing

• None of these

• Substitution

• Graphing

• Elimination

When using the substitution method, what should you do if the equations are not already solved for a variable?

• Solve one of the equations for a variable

• Add the equations together

• Multiply both equations by a random number

• Ignore the equations and move on to a different method

In the elimination method, what do you do if the coefficients of one of the variables are not the same?

• Add the two equations together

• Divide one or both of the equations by a constant

• Subtract one equation from the other

• Multiply one or both of the equations by a constant

• Substitution

• Graphing 

• Elimination