Steps to Solve a System of Equations

When is the substitution method most useful in solving a system of equations?

• When both equations are already solved

• When the equations are not related

• When the variables are not known

• When one of the equations can be easily solved for one variable

Explain the concept of intersection point in the context of the graphical method for solving a system of equations.

• The intersection point represents the solution to the system of equations.

• The intersection point is the average of the two equations' slopes.

• The intersection point is the y-intercept of the first equation.

• The intersection point is the maximum value of the system of equations.

Compare and contrast the substitution and elimination methods for solving a system of equations.

• Substitution method always leads to the correct solution, while elimination method is unreliable

• Substitution method involves adding the equations together, while elimination method involves multiplying the equations

• Both methods involve manipulating the equations to solve for one variable and then substituting or eliminating that variable to solve for the other variables.

• Substitution method only works for linear equations, while elimination method only works for quadratic equations

TRUE or FALSE:

When both equations have the same variable isolated

(both y = or both x = ),

substituting the first into the second ends up looking like

you just set the two equal to each other.

• TRUE

• FALSE

Which option shows the CORRECT substitution for this system?

Which option shows the CORRECT substitution for this system?

Which option shows the CORRECT substitution for this system?

Which option shows the CORRECT substitution for this system?

Which option shows the CORRECT substitution for this system?

Which option shows the CORRECT substitution for this system?