Solve a system of equations by substitution when both y variables are isolated

The video tutorial demonstrates how to solve a system of equations using substitution. It begins by explaining the substitution method, where one variable's value is replaced in another equation. The tutorial then guides through setting up an equation with a single variable, solving for X, and subsequently using that value to solve for Y. The solution set is determined as X = 2.5 and Y = -5.

What is the primary goal when using substitution to solve equations?

• To find the value of both variables simultaneously

• To simplify the equation by removing constants

• To express the equation in terms of a single variable

• To eliminate all variables

When substituting one variable for another, what is the main objective?

• To create a new equation with more variables

• To find the value of the substituted variable

• To form an equation with only one type of variable

• To eliminate the need for solving the equation

After substituting and forming an equation with one variable, what is the next step?

• Add more variables to the equation

• Check the solution with the original equation

• Re-substitute the original variable

• Solve for the remaining variable

How do you find the value of Y after solving for X?

• By substituting X back into one of the original equations

• By guessing the value of Y

• By using a different equation unrelated to the problem

• By assuming Y is always zero

What is the solution set for the system of equations in this tutorial?

• X = 2.5 and Y = -5

• X = 3 and Y = 0

• X = 1.5 and Y = 2

• X = 0 and Y = -1