Solve a system of equation by substitution

The video tutorial explains how to solve a system of linear equations using the substitution method. The teacher guides students through selecting a variable with a coefficient of one, solving for it, and substituting its value into the other equation. The process is demonstrated step-by-step, emphasizing the importance of simplifying equations and verifying solutions. The tutorial concludes with the final solution for both variables, ensuring students understand the method and can apply it to similar problems.

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

• Choose a variable with a coefficient of 1

• Multiply both equations by 2

• Add the equations together

• Divide the equations by their coefficients

Why is it beneficial to rewrite the equation with the variable first?

• It changes the solution

• It is a good habit for clarity

• It makes the equation harder to solve

• It makes the equation longer

What happens when you substitute the value of one variable into the other equation?

• You solve both equations simultaneously

• You eliminate one variable

• You create a new variable

• You increase the number of variables

What is the purpose of combining like terms in an equation?

• To make the equation longer

• To simplify the equation

• To add more variables

• To make the equation more complex

After finding the value of one variable, what should you do next?

• Ignore the other variable

• Divide the variable by its coefficient

• Find the value of the other variable

• Multiply the variable by 2

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

• Multiply the solutions by each other

• Verify the solution by substituting back into the original equations

• Ignore the solutions

• Add the solutions together

Why is it important to verify the solution of a system of equations?

• To change the solution

• To make the process longer

• To ensure the solution is correct

• To confuse the solver