How would i clear the fractions in the equation in the attached picture, in order to get the following? :
4(x+3)+4x(x−2) = 9(x−2)(x+1)
4x+12+4x^2−8x = 9x^2−9x−18

  You clear fractions by the usual method: multiply by the least common denominator.

Step-by-step explanation:

The denominators of the three fractions are ...

The "least common denominator" is the least common multiple of these expressions, which will be the product that contains all of the unique factors: 4(x -2)(x +1). This is what the equation is multiplied by in order to clear fractions.

The solutions are x=-2, x=3.

_____

When we say "multiply" or "subtract" or "divide", we mean do it to both sides of the equation. Anything you do to an equation must be done to both sides in order to maintain the truth of the equal sign.

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: