SLE Definitions

Question 1

How do you identify a linear equation

Answer 1

It is an algebraic equation in which each term is either a constant or a product of a constant and the first power of a single variable

x + 3 = 4

x - y = 4

Question 2

Is x² + 3x + 2 = 0 a linear equation?

Answer 2

No, as x² is the highest power and equal to 2.

Question 3

What is a simultaneous linear equation

Answer 3

A set of linear equations of which a solution if it exist statisfies all of them.

Question 4

Why is x = 1, y = 1 the solution for this pair of equations?

x + y = 2 (1)

2x - y = 1 (2)

Answer 4

Substitiute the values of x and y into the equations

1 + 1 = 2 (1)

2*1 - 1 = 1 (2)

Since the equations match, we say that the values of x =1 and y = 1 satisfy both equations

Question 5

How many ways are there to solve simultaneous linear equations?

Answer 5

There are 3 ways

By the elimination method

By the substitution methd

By the graphical method

Question 6

How do you solve using the elimination method

Answer 6

Step 1 Identify the variable to eliminate

Step 2 identify the operation to eliminate the variable

Step 3 Eliminate the chosen variable

Step 4 Find the value of the other variable

Step 5 Substitute the value of this variable in any of the equations

Step 6 Find the value of the other variable

Question 7

How do solve by the substitution method?

Answer 7

Step 1 Make one of the variables the subject

Step 2 Substitute the above into the other equation

Step 3 Use the above to find the value of the variable

Step 4 Substitute the value of the known variable into the equation found in step 1

Step Find the value of the first varaible

Question 8

How do you solve by the graphical method

Answer 8

Step 1 Draw the linear graph of both equations

Step 2 Identify the intersection point of the 2 linear graphs

Step 3 The coordinates of the intersection point is the solution