Algebra: Simultaneous Equations

The video tutorial explains how to solve simultaneous equations using the elimination method. It begins by introducing the problem and then demonstrates how to manipulate the equations to make one of the unknowns the same in both equations. The tutorial continues by adding the equations to solve for x and then substituting the value of x back into one of the original equations to find y. The video concludes with a review of the solution and the allocation of marks for each step.

What is the first step in solving the given simultaneous equations?

• Subtract the second equation from the first

• Multiply the first equation by 5

• Add the two equations directly

• Multiply the second equation by 5

Why do we multiply the first equation by 5?

• To make the x-values the same

• To eliminate the x variable

• To make the y-values the same

• To simplify the equation

After aligning the y-values, what operation is performed on the equations?

• Multiplication

• Subtraction

• Division

• Addition

What is the value of x after solving the equations?

• 7.5

• 6.5

• 5.5

• 8.5

How do you find the value of y after determining x?

• Multiply x by the second equation

• Add x to the first equation

• Substitute x into the first equation

• Substitute x into the second equation

What is the value of y after substitution?

• 7.5

• 8.5

• 9.5

• 6.5

What is the total number of marks available for solving the simultaneous equations?

• Five

• Two

• Four

• Three