Solving Systems of Linear Equations by Substitution Method

What method is being introduced in this video for solving systems of linear equations?

• Graphical method

• Substitution method

• Matrix method

• Elimination method

What is the purpose of the substitution method in solving linear equations?

• To add the equations

• To eliminate one variable

• To graph the equations

• To find the determinant

Which equation is used as the first equation in the substitution process?

• y = 3x + 5

• y = 2x + 4

• x = 3y - 15

• 3x - 5y = 15

What is the first step in solving for x using substitution?

• Isolate y in the second equation

• Add the equations together

• Substitute y from the second equation into the first

• Multiply both equations by a constant

After substituting y = 2x + 4 into 3x - 5y = 15, what is the resulting equation?

• 3x + 5x = 15

• 3x - 5x = 15

• 3x + 5(2x + 4) = 15

• 3x - 5(2x + 4) = 15

What is the value of x after solving the equation 3x - 10x - 20 = 15?

• 5

• -10

• -5

• 10

Once x is found, which equation is used to find y?

• y = 3x + 5

• x = 3y - 15

• y = 2x + 4

• 3x - 5y = 15

What is the value of y when x = -5?

• 6

• -6

• -10

• 10

What is the next method to be discussed in the following video?

• Substitution method

• Matrix method

• Graphical method

• Elimination method

What should you do after finding the values of x and y?

• Check the solution by substituting back into the original equations

• Multiply the solution by a constant

• Ignore the solution

• Graph the solution