Rewrite the following equation in standard form. y=1/10x− 2/9

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 .

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.

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