Solving Systems of Linear Equations by Substitution

This video tutorial from Mumo Math and Science explains how to solve systems of linear equations using the substitution method. It outlines a step-by-step process: isolating a variable, substituting it into another equation, solving for the second variable, and then finding the value of the first variable. The tutorial concludes with a verification of the solution to ensure accuracy.

What is the first step in solving systems of linear equations by substitution?

• Check the solution for accuracy

• Isolate one variable in one of the equations

• Substitute one equation into the other

• Solve for both variables simultaneously

In the equation a - 3B = -10, what operation is performed to isolate 'a'?

• Divide both sides by 3

• Subtract 3B from both sides

• Add 3B to both sides

• Multiply both sides by 3

After isolating a variable, what is the next step in the substitution method?

• Check the solution

• Graph the equations

• Solve for the other variable

• Substitute the isolated variable into the other equation

What is the result of combining like terms in the equation -50 + 15B + 3B = 4?

• 15B = 4

• 20B = 4

• 12B = 4

• 18B = 4

What is the value of B after solving the equation 18B = 54?

• B = 2

• B = 4

• B = 5

• B = 3

Once you have found the value of one variable, what should you do next?

• Verify the solution

• Solve for the same variable again

• Graph the solution

• Substitute it back into the original equation to find the other variable

In the equation 5a + 3(3) = 4, what is the first step to solve for 'a'?

• Add 9 to both sides

• Subtract 9 from both sides

• Divide both sides by 5

• Multiply both sides by 5

What is the final value of 'a' after solving the equation 5a = 5?

• a = -1

• a = 2

• a = 1

• a = 0

What is the purpose of checking the solution in the final step?

• To graph the solution

• To find a different solution

• To simplify the equations further

• To ensure the solution satisfies both original equations

What is the solution set for the system of equations solved in the video?

• a = -1, b = -3

• a = 1, b = -3

• a = 1, b = 3

• a = -1, b = 3