Solving Systems of Equations Algebraically

What is the main goal of using substitution to solve systems of equations?

• To eliminate variables

• To graph the equations

• To find the exact solution

• To find an approximate solution

In Example 1, what is the first step in solving the system of equations using substitution?

• Check the solution

• Substitute one equation into the other

• Graph the equations

• Combine like terms

What is the value of X in Example 1 after substitution and simplification?

• -3

• -6

• 3

• 6

In Example 1, what is the value of Y after substituting X = -3?

• -6

• 3

• -3

• 6

In Example 2, why is it important to use parentheses when substituting?

• To apply the distributive property correctly

• To make the equation look neat

• To simplify the equation

• To avoid combining like terms

What is the value of X in Example 2 after solving the equation?

• 1

• -1

• 5

• -5

In the real-world example, what does X represent?

• Total items

• Cookies

• Money raised

• Cakes

What is the first equation formulated in the real-world example?

• X = 4Y

• X - Y = 75

• X + Y = 75

• Y = 4X

How many cakes were donated in the real-world example?

• 60

• 15

• 75

• 30

How many cookies were donated in the real-world example?

• 15

• 30

• 60

• 75