Solve the equation: 20\x+10\x-10=10\3

x = 9/4

Step-by-step explanation:

20/x + 10/x - 10 = 10/3 ,    x ≠ 0

3x*(20/x + 10/x - 10) = 3x*(10/3)

60 + 30 - 30x = 10x

90 = 40x

x=90/40 = 9/4

x= 2

Step-by-step explanation:

20/x + 10/x - 10= 10/3

add 10 from both sides of the equation

20/x+10/x = 10/3 + 10

add the fraction on the left

20/x + 10/x = 40/3

3x is the common denominator

3x ( 20/x) + 3x ( 10/3) = 40/3( 3x)

simplify

60 + 10x = 40 x

group like terms

60 = 40x - 10 x

60 = 30 x

divide both sides of the equation by 30

60/30 = 30 x/ 30

2 = x

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.