Solving Systems of Equations Algebraically

This video tutorial explains how to solve systems of equations algebraically using the equal values method. It begins with an introduction to the method, followed by detailed steps for implementation. The tutorial includes three examples demonstrating the method in action, showing how to set equations in slope-intercept form, solve for x, and find the corresponding y value. The video concludes with a summary and additional resources for further learning.

What method is introduced in the video for solving systems of equations algebraically?

• Equal values method

• Graphing method

• Elimination method

• Substitution method

What form must both equations be in to use the equal values method?

• Quadratic form

• Point-slope form

• Slope-intercept form

• Standard form

What is the first step in the equal values method?

• Graph the equations

• Ensure both equations are in slope-intercept form

• Set the equations equal to each other

• Solve for y

In the first example, what is the value of x when solving the system y = 4x + 2 and y = 2x - 8?

• x = -2

• x = 5

• x = -5

• x = 2

What is the y-coordinate in the first example when x = -5?

• y = 10

• y = 18

• y = -18

• y = -10

In the second example, what is the first step to make the equation y = 5x + 10 in slope-intercept form?

• Multiply by 5

• Divide by 5

• Subtract 10 from both sides

• Add 10 to both sides

What is the x-coordinate in the second example when solving the system y = 5x + 10 and y = 10x - 15?

• x = -10

• x = 10

• x = -5

• x = 5

What is the y-coordinate in the second example when x = 5?

• y = 10

• y = 25

• y = 35

• y = 50

In the third example, what is the value of x when solving the system y = 6 + 2x and y = 4x - 10?

• x = 6

• x = 8

• x = 12

• x = 10

What is the y-coordinate in the third example when x = 8?

• y = 22

• y = 20

• y = 18

• y = 16