Solving Systems of Equations

Miss Kaysen explains how to solve a system of equations using the equal values method. She sets two equations equal to each other, eliminates fractions by multiplying, and solves for X. After finding X, she substitutes it back into one of the original equations to find Y, resulting in the solution as an ordered pair.

What method is being used to solve the system of equations in this problem?

• Graphical Method

• Equal Values Method

• Substitution Method

• Elimination Method

What are the two equations given in the problem?

• y = 1/4x + 5 and y = 3x - 9

• y = 1/2x + 5 and y = 2x - 9

• y = 1/4x + 5 and y = 2x - 9

• y = 1/4x + 5 and y = 2x + 9

Why do we set the two equations equal to each other?

• To eliminate x

• Because they both equal y

• To simplify the equation

• To find the slope

What is the purpose of multiplying the entire equation by 4?

• To find the value of y

• To get rid of the fraction

• To eliminate the variable x

• To simplify the equation

What is the new equivalent equation after multiplying by 4?

• x + 20 = 8x - 36

• 4x + 20 = 8x - 36

• x + 5 = 2x - 9

• 4x + 5 = 8x - 9

After simplifying, what equation do we get to solve for x?

• 20 = 7x + 36

• 20 = 8x - 36

• 20 = 8x + 36

• 20 = 7x - 36

What is the value of x after solving the equation?

• x = 9

• x = 7

• x = 10

• x = 8

What is the next step after finding the value of x?

• Solve for y

• Check the solution

• Recalculate x

• Graph the equations

How do we find the value of y?

• By guessing

• By substituting x into the second equation

• By substituting x into the first equation

• By solving a new equation

What is the value of y after substitution?

• y = 8

• y = 7

• y = 6

• y = 5