Solving Systems of Equations with Elimination

The video tutorial demonstrates solving systems of equations using the elimination method. It begins with an introduction to the concept, followed by setting up the problem by rewriting the equations. The tutorial then focuses on eliminating variables by adding equations, solving for y, and subsequently solving for x by substitution. Finally, the solution is verified against the original equations to ensure accuracy.

What is the main goal when using the elimination method to solve a system of equations?

• To multiply the equations

• To divide the equations

• To find the sum of the equations

• To eliminate one of the variables

In the given problem, which variable is identified for elimination?

• Both x and y

• x

• Neither x nor y

• y

After eliminating x, what is the resulting equation for y?

• y = 18

• y = 0

• y = -7

• y = 7

What operation is performed to isolate y in the equation -y = -7?

• Divide both sides by 7

• Multiply both sides by -1

• Subtract 7 from both sides

• Add 7 to both sides

Which equation is used to substitute the value of y to find x?

• x - 3y = 11

• x + 4y = 18

• x - 4y = -18

• x + 3y = 11

What is the value of x after substituting y = 7 into the equation?

• x = 7

• x = 10

• x = -10

• x = 18

How can you verify that the solution x = 10 and y = 7 is correct?

• By checking neither equation

• By checking only the first equation

• By checking both equations

• By checking only the second equation

What is the result of substituting x = 10 and y = 7 into the first equation?

• 0

• -18

• 18

• 11

What is the result of substituting x = 10 and y = 7 into the second equation?

• 0

• 18

• -11

• 11

What is the final step after solving for both x and y?

• Multiplying the equations

• Eliminating another variable

• Verifying the solution

• Rewriting the equations