Question

Write y = 1/6x + 5 in standard form using integers.

A. –x – 6y = 30

B. 6x – y = 30

C. –x + 6y = 30

D. –x + 6y = 5

Answer 1

The standard form of the equation is - x + 6y = 30 .

Option (C) is correct.

Explanation:

As the equation given in the question

`y = (1x)/(6) + 5`

Simplify the above

`y = (1x + 5* 6)/(6)`

`y = (1x + 30)/(6)`

`6y = 1x + 30`

- x + 6y = 30

Therefore the standard form of the equation is - x + 6y = 30 .

Option (C) is correct.

Answer 2

Standard form of a linear equation is :
Ax + By = C

Given:
y = 1/6x + 5
Rearranging,
(1/6)x - y = -5
Multiplying whole equation by 6.
x - 6y = -30
or
-x + 6y = 30
Hope it helps!