How to solve for the value of x and y using substitution, x = 5y; 3x - 2y = 39

The video tutorial covers solving systems of equations using the substitution method. It begins with a recap of previous lessons on graphing systems and introduces the substitution method. The instructor demonstrates how to substitute values into equations to find where two lines intersect. The process involves simplifying equations to solve for Y and then using that value to find X, ultimately determining the intersection point of the two lines.

What was the main focus of the previous class regarding systems of equations?

• Finding the slope of a line

• Using matrices to solve equations

• Graphing to find intersection points

• Solving equations by substitution

In the substitution method, if X = 5Y, what should be substituted for X in another equation?

• 5Y

• Y

• X

• 3Y

After substituting 5Y for X, what is the next step in solving the equation?

• Find the slope

• Simplify and solve for Y

• Check for errors

• Graph the equation

Once the value of Y is found, what is the next step to find the intersection point?

• Substitute Y back into the original equation to find X

• Check the solution with a calculator

• Graph the solution

• Use the value of Y to find the slope

What is the intersection point of the two lines in the example provided?

• (0, 0)

• (3, 15)

• (15, 3)

• (5, 5)