Solving Systems of Equations with Substitution

What is the first step in solving a system of linear equations using substitution?

• Check the solution.

• Graph the equations.

• Combine like terms.

• Pick one equation and solve for one variable.

In the first example, what is the value of x after solving the equation 4x = -32?

• 8

• -4

• -8

• 4

Why is it often easier to solve for a variable that does not have a coefficient?

• It makes the graphing easier.

• It avoids fractions.

• It simplifies the equation.

• It eliminates the need for substitution.

In the second example, what is the value of y after solving the equation y - 7 = 2(-6)?

• -5

• -12

• 5

• 12

What is the final coordinate pair solution for the system in the third example?

• (-2, -1)

• (-1, -2)

• (2, 1)

• (1, 2)

In the third example, what is the value of y after solving the equation 5y = 10?

• 10

• 5

• 2

• 1

In the fourth example, what is the value of x after solving the equation 12x = 0?

• Undefined

• -12

• 0

• 12

Why is it important to check the solution in both equations of the system?

• To ensure the solution is correct for both equations.

• To simplify the equations.

• To find the slope of the lines.

• To eliminate one of the variables.

What should you do if you forget to distribute a term while solving a system?

• Change the variable you are solving for.

• Start over from the beginning.

• Ignore the mistake.

• Correct the mistake and continue.

What is the final coordinate pair solution for the system in the fourth example?

• (-6, 0)

• (6, 0)

• (0, 6)

• (0, -6)