Five less than the quotient of a number and three is -7

The unknown number is -6

Step-by-step explanation:

Let's start by writing the sentence in mathematical terms:

Since we don't know what that "number" is, we replace it with the letter "". Then, the quotient of that unknown number and three can now be written as:

"Five less than the quotient of a number by three", can then be written as the difference (where we are subtracting 5 from that quotient):

The last part of the sentence tells us that the expression we just wrote in mathematical form "is -7." This in mathematical terms indicates "equals -7."

Therefore, we now have a mathematical equation (there is an equal sign in the expression) and we try to solve for the unknown number "" in it:

We do such by isolating the x on one side of the equal sign. This process involves: first add 5 on both sides of the equation, and second:multiply both sides of the equation by 3 to get rid of the denominator under the unknown:

step-by-step explanation:

in the absence of parentheses, i will have to make some assumptions:   i interpret your (3x+5/y^6)(4y^3/5)​ to mean:

3x + 5     4y^(3/5)       (3x + 5)(4)

* =

    y^6             1               y^(6-3/5)

if this is not what you expected, repost your question using parentheses to indicate whether you meant

4y^3

    or   4y^(3/5)

    5