Understanding the Substitution Method in Solving Systems of Equations

The video tutorial explains how to solve systems of equations using the substitution method. It covers different scenarios: a unique solution, infinite solutions, and no solution. Each example is solved step-by-step, with graphical verification provided. The tutorial emphasizes writing solutions as ordered pairs and using symbols for infinite solutions or no solutions.

What method is being used to solve the system of equations in this tutorial?

• Elimination method

• Graphical method

• Substitution method

• Matrix method

In the first example, what is the value of x in the solution?

• -2

• 2

• 5

• 0

What is the y-coordinate of the solution in the first example?

• 9

• 0

• 5

• 13

In the second example, what is the first step after substituting 8x - 15 for y?

• Divide by 9

• Multiply by 2

• Combine like terms

• Add 15 to both sides

What is the x-coordinate of the solution in the second example?

• 1

• 2

• 3/7

• 7/3

In the third example, what conclusion is reached when the equation simplifies to -33 = -33?

• No solution

• Unique solution

• Infinite solutions

• Graph error

What does it mean graphically when two equations have infinitely many solutions?

• The lines are parallel

• The lines are perpendicular

• The lines coincide

• The lines intersect at one point

In the fourth example, what is the result when the equation simplifies to 56 = 21?

• Graph error

• Unique solution

• Infinite solutions

• No solution

What does it mean graphically when two equations have no solution?

• The lines are perpendicular

• The lines coincide

• The lines intersect at one point

• The lines are parallel

What should be entered when there is no solution according to the tutorial?

• DNE

• Infinity symbol

• None

• Zero