Solving Systems of Linear Equations by Graphing

This video tutorial from YourTeacher.com explains how to solve a system of equations using the graphing method. It covers graphing two lines, finding their intersection point, and verifying the solution by substituting the values back into the original equations. The tutorial provides a step-by-step approach to understanding the graphing method for solving systems of equations.

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• To provide cooking lessons

• To offer complete math lessons with interactive features

• To sell educational books

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Why do we need two separate equations to solve for two variables?

• To have a system of equations

• To make the problem more complex

• To confuse the students

• Because one equation is not enough

Which method is introduced in this section for solving systems of equations?

• Substitution method

• Elimination method

• Graphing method

• Matrix method

What is the y-intercept of the line y = 3/2x + 1?

• 3

• 2

• 1

• 0

What is the slope of the line y = -x + 6?

• 1

• -1

• 6

• -6

At what point do the lines y = 3/2x + 1 and y = -x + 6 intersect?

• (1, 2)

• (2, 4)

• (4, 2)

• (3, 5)

How can you verify the solution to the system of equations?

• By using a calculator

• By asking a friend

• By substituting the values back into the original equations

• By guessing the values

What is the result when you substitute x = 2 and y = 4 into the equation y = 3/2x + 1?

• 3 = 4

• 2 = 4

• 1 = 4

• 4 = 4

What is the result when you substitute x = 2 and y = 4 into the equation y = -x + 6?

• 4 = 1

• 4 = 2

• 4 = 6

• 4 = 4

What is the final solution to the system of equations discussed in the video?

• (4, 6)

• (1, 3)

• (2, 4)

• (3, 5)