Solve a system of linear equations using substitution

What is the primary goal when using the substitution method to solve a linear system?

• To eliminate all variables from the equations

• To find the maximum value of the variables

• To find the values of the variables that satisfy both equations

• To convert the equations into quadratic form

Why is it beneficial to isolate one variable in the substitution method?

• It eliminates the need for further calculations

• It simplifies the system to a single variable equation

• It allows for easier graphing of the equations

• It helps in converting the system to matrix form

In the given example, what value is substituted for D?

• 2

• 3

• 4

• 5

What is the next step after substituting the value of D into the other equation?

• Check for extraneous solutions

• Solve for the remaining variable

• Convert the equation to standard form

• Graph the resulting equation

How can you verify that the solution to the system is correct?

• By checking if the solution satisfies both original equations

• By ensuring the solution is a positive number

• By comparing the solution to a graph

• By substituting the solution into a different system