Learn the steps for solving a system of equations by substitution

The video tutorial explains solving systems of equations using the substitution method. It begins by identifying variables with a coefficient of 1, then solving for the variable using inverse operations. The solved variable is substituted into another equation, applying the distributive property to simplify. Finally, the tutorial demonstrates finding the intersection point of the equations, providing a step-by-step guide to solving for both variables.

What is the first step in solving equations by substitution?

• Apply the distributive property

• Identify the variable with a coefficient of 1

• Solve for the variable using inverse operations

• Plug in the quantity the variable is equal to

How do you solve for a variable using inverse operations?

• Subtract or add terms to isolate the variable

• Divide the equation by the variable

• Multiply the variable by its coefficient

• Add the variable to both sides

What symbol is used to represent substitution in equations?

• Brackets

• Parentheses

• Curly braces

• Quotation marks

Why is the distributive property important in substitution?

• It helps to simplify the equation

• It groups terms together

• It allows for the multiplication of terms

• It ensures the equation is balanced

What is the result of combining like terms in the equation 3X - 8X?

• 5X

• -5X

• -11X

• 11X

How do you find the value of Y once X is known?

• Divide X by the coefficient of Y

• Substitute X into the original equation

• Add X to the equation

• Multiply X by the coefficient of Y

What are the coordinates of the point of intersection in this problem?

• (6/5, 28/5)

• (5/28, 6/5)

• (-28/5, 6/5)

• (28/5, -6/5)