If 1/3x + 3 = x, then x-1/3 = 3
so
2/3 x = 3
x = 3 * 3/2 = 9/2
Step-by-step answer:
For relatively small denominators, the easiest way is to multiply the two denominators AND divide by the highest common factor (HCF).
For example, adding 5/24+3/16
24*16 = 384
(use a calculator if necessary, for mental calculation, 24*16=20^2-4^2=400-16=384 ).
The highest common factor (HCF) is 8, since 24/8=3, 16/8=2, 3 and 2 do not have any more common factors, so it is the HCF.
The lowest common multiple (LCM) is then 384/8 = 48
For someone good at factoring, we see that the factors are:
24={2^3,3}
16={2^4} = {2^3,2}
so the LCM is either 16*3=48, or 24*2=48.
ANSWER
The required equation is

EXPLANATION
The given line passes through the point

The slope of this line is given by the formula,

This implies that,


The product of the slope of the two perpendicular lines should be negative one.
Thus,

This implies that,

We multiply through by

to obtain,


Therefore the slope of the line perpendicular to the given line is

We use the slope intercept formula

where

is the y-value of the y-intercept.
We therefore have,

as the required equation.
The correct answer is C.
8x-6y=-18 = y=4x/3 +3 and 8x+7y=9 is 8x/7+9/7
Answer:
5
Step-by-step explanation:
The equation of a straight line is :
y=mx+c
where m is the gradient and c is the y-intercept
so if m equals 5 then the gradient is 5