Learn how to use substitution to solve a system of equations

The video tutorial explains how to solve a system of equations using the substitution method. It begins by identifying a variable with a coefficient of 1 or -1 to isolate. The instructor demonstrates solving for X, substituting the expression into another equation, and applying the distributive property to simplify. The tutorial concludes by finding the value of Y and verifying the solution algebraically, emphasizing the advantage of solving without graphing.

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

• Graph the equations

• Add the equations together

• Choose a variable with a coefficient of 1 or -1

• Multiply both equations by the same number

When substituting an expression for a variable, what is a common mistake to avoid?

• Forgetting to apply the distributive property

• Dividing by the coefficient of the variable

• Adding the same number to both sides

• Multiplying both sides by zero

After substituting the expression for X, what should you do next?

• Add the equations together

• Graph the equation

• Multiply the equation by 2

• Solve for Y

What is the value of Y in the solved system of equations?

• 3

• 5

• 7

• 9

What is the final solution of the system of equations in coordinate form?

• (3, 5)

• (2, 5)

• (5, 2)

• (7, 3)