Rewrite the following equation in standard form.

y=1/10x - 2/9

9x-90y=20

Step-by-step explanation:

Given equation is

y=1/10x-2/9

Ax+By=C where A, B and C are constants and x and y are variables.

We have to change given equation into standard equation.

y=1/10x-2/9

Adding - 1/10x to both sides of above equation, we get

(-1/10x) + y = (-1/10x) + 1/10x-2/9

-1/10x+y=-1/10x+1/10x-2/9

-1/10x+y=0-2/9

-1/10x+y=-2/9

Multiplying by 9 on both sides of equation, we get

9 (-1/10x+y) = 9 (-2/9)

9 (-1/10x) + 9 (y) = -2 (9/9)

-9/10x+9y=-2

Multiplying by 10 on both sides of above equation, we get

10 (-9/10x+9y) = 10 (-2)

10 (-9/10x) + 10 (9y) = -20

-9x+90y=-20

Multiplying by - 1 on both sides of equation, we get

-1 (-9x+90y) = -1 (-20)

-1 (-9x) - 1 (90y) = 20

9x-90y=20 is the standard form of equation where A = 9, B = - 90 and C=20.

The answer is 9x - 90y = 20.

Explanation:

y = 1/10 x - 2/9

First eliminate the fractions by multiplying through by the LCM which is 90:-

90y = 9x - 20

Standard form is ax + by = c, so rearranging we get:

0 = 9x - 90y - 20

9x - 90y = 20.