Question

Give the following equation in standard form:

$y=\frac{1}{3}x-7$

Answer 1

Answer:

x - 3y = 21

Step-by-step explanation:

To write linear equation in standard form we write variables in one side and constant numbers on the the other side

for $y=\frac{1}{3}x-7$

we first need to get rid of fraction and to do that we multiply both sides of the equation by 3

3 × y = (x/3 - 7) × 3

➡

3y = x - 21

Now we subtract 3y and add 21 to both sides

21 + 3y - 3y = x - 21 - 3y + 21

➡

x - 3y = 21

Some rules : x cannot be negative, and there shouldn't be fraction.

Answer 2

Standard form of equation:

ax + by = c

$y = \frac{1}{3} x - 7$

$y - \frac{1}{3} x = - 7$

$\frac{ - x}{3} + y = - 7$