Question

Which equation is a linear equation?

Question 4 options:

a)

23xy − 34y = 0

b)

3a + 5b = 3


c)

x2+y2 = 0

d)

4m2 = 6

Answer 1

b) 3a + 5b = 3

Explanation:

It is an exact replica of the Standard Formula [Ax + By = C]. The Standard Formula is an example of a linear equation.

Answer 2

3a + 5b = 1 is a linear equation

Explanation:

Required?

To state which equation is linear...

An equation is said to be linear if it obeys the following.

1. For Single variables: y = b

An example is y = 4

2. For 2 Variables; it can take any of the following form: Ax + By = C.

An example 3x + 5y = 4

.from option A through D, only option B fits the description.

Note that the arithmetic sign could take the negative form and the position of x and y or any other constraints can take an interchanged forms.

The key thing to watch out when naming a linear equation is that the highest power is 1.

Hence, the 3a + 5b = 1 is a linear equation