GCSE Secondary Maths Age 13-17 - Algebra: Simultaneous Equations - Explained

The video tutorial explains how to solve a pair of simultaneous equations using the elimination method. The instructor chooses to eliminate the y variable by multiplying the equations to align the coefficients. After eliminating y, the value of x is found and simplified. This value is then substituted back into one of the original equations to find y. The tutorial concludes with a discussion on the marking scheme for the problem, emphasizing the importance of understanding the process for solving such equations.

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

• Divide both equations by 2

• Subtract the second equation from the first

• Multiply the first equation by 5 and the second by 4

• Add the equations directly

After aligning the coefficients of y, what operation is performed to eliminate y?

• Add the equations

• Multiply the equations

• Divide the equations

• Subtract the equations

What is the value of x after solving the equations?

• 3.5

• 4.5

• 6.5

• 5.5

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

• A new equation

• The second equation

• Both equations

• The first equation

What is the final value of y after substitution?

• -1.5

• -3.5

• -4.5

• -2.5