How do I do this 2/3+1/6q=q+1/3

q= 2/5 in decimal for 0.400

Step-by-step explanation:

Rewrite the whole as a fraction using  3  as the denominator :

         q     q • 3

    q =  —  =  —————

         1       3  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 2-5q

 ———— • 6 = 0 • 6

  6  

Now, on the left hand side, the  6  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  2-5q  = 0

Solve  :    -5q+2 = 0  

Subtract  2  from both sides of the equation :  

                     -5q = -2

Multiply both sides of the equation by (-1) :  5q = 2

Divide both sides of the equation by 5:

                    q = 2/5 = 0.400

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9