Solving Simultaneous Equations

The video tutorial covers solving simultaneous equations with variables in the denominator. It provides a step-by-step approach to solving multiple sets of equations by substituting variables and adjusting coefficients. The tutorial emphasizes understanding the process of substitution and manipulation of equations to find solutions for variables x and y.

What is the first step in solving simultaneous equations with variables in the denominator?

• Divide both sides by the variable

• Add the equations together

• Substitute the variable with a new one

• Multiply both sides by the variable

In the first set of equations, what substitution is made for 1/x?

• b

• d

• c

• a

What is the result of adding equations 4 and 5 in the first set?

• 6a = 18

• 5a = 20

• 4a = 16

• 2a = 8

What is the value of x in the first set of equations?

• 3

• 5

• 1/5

• 1/3

In the second set of equations, what is the first step after substitution?

• Add the equations

• Multiply to make coefficients equal

• Divide both sides by a constant

• Subtract the equations

What is the value of a in the second set of equations?

• 1/2

• 2

• 3

• 1

What is the final value of y in the second set of equations?

• 1

• 2

• -2

• -1

In the third set of equations, what is the first step after substitution?

• Multiply to make coefficients equal

• Divide both sides by a constant

• Subtract the equations

• Add the equations

What is the value of a in the third set of equations?

• 2

• 1/2

• 3

• 1

What is the final value of x in the third set of equations?

• 2

• 3

• 5/2

• 1