Solving Simultaneous Equations using the Substitution Method

The video tutorial focuses on solving simultaneous equations using the substitution method. It begins with an introduction to the method, explaining how to solve simple equations by substituting known values. The tutorial progresses to more complex equations, demonstrating the process of substitution and equation manipulation. A real-life example involving the cost of apples and bananas is used to illustrate the practical application of the method. The video concludes with a summary of key points and the importance of substitution in solving equations.

What is the first step in solving simultaneous equations using the substitution method?

• Divide the equations by a variable

• Add the equations together

• Label the equations and substitute one into the other

• Multiply the equations by a constant

In the example where 3x + y = 7 and y = x - 1, what is the value of x after substitution?

• x = 3

• x = 1

• x = 0

• x = 2

After finding x = 2 in the first example, what is the next step to find y?

• Add x to the equation for y

• Divide x by the equation for y

• Substitute x into the original equation for y

• Multiply x by the equation for y

In the complex example, what is the simplified form of the equation 2x = 6 + 2y?

• x = 6 - y

• x = 3 + y

• x = 6 + y

• x = 3 - y

What is the value of y in the complex example after solving the simplified equation?

• y = 0

• y = 1

• y = 3

• y = 2

In the real-life example, what is the cost of a banana?

• 16 pence

• 14 pence

• 12 pence

• 10 pence

What is the final cost of an apple in the real-life example?

• 8 pence

• 14 pence

• 10 pence

• 12 pence