Solving Systems of Linear Equations by Substitution

This video tutorial from Mumo Math and Science explains how to solve a system of linear equations using the substitution method. The process involves isolating one variable in one equation, substituting it into the other equation, solving for the second variable, and verifying the solution. The tutorial provides a step-by-step guide to ensure understanding and accuracy in solving such equations.

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

• Substitute one equation into the other

• Isolate one variable in one of the equations

• Add the equations together

• Multiply the equations by a constant

In the equation -x - y = 2, what operation is performed first to isolate x?

• Subtract y from both sides

• Divide both sides by 2

• Multiply both sides by -1

• Add y to both sides

After isolating x, what is the expression for x in terms of y?

• x = -2 - y

• x = 2 - y

• x = -2 + y

• x = 2 + y

What is the next step after rewriting one equation in terms of a single variable?

• Graph the equations

• Check the solution

• Substitute the expression into the other equation

• Solve for the other variable

What is the result of substituting x = 2 - y into the equation 2x + 3y = 2?

• 4 - 2y + 3y = 2

• 2 - y + 3y = 2

• 4 + 2y - 3y = 2

• 2 + y - 3y = 2

What is the value of y after solving the equation 4 - 2y + 3y = 2?

• y = 3

• y = 2

• y = 0

• y = 1

Once y is found, what is the next step?

• Substitute y back into the original equation to find x

• Graph the solution

• Check the solution

• Solve for another variable

What is the value of x when y = 2?

• x = 4

• x = 5

• x = 3

• x = 2

How do you verify the solution of a system of equations?

• By substituting the values back into the original equations

• By solving the equations again

• By graphing the equations

• By checking the solution with a calculator

What is the final step in solving a system of equations by substitution?

• Multiply the equations

• Verify the solution

• Graph the solution

• Solve for another variable