8 less than the product of 6 and a number is the same as 5 more than the number

The algebraic expression will be:

Step-by-step explanation:

Given the statement in English words

''8 less than the product of 6 and a number is the same as 5 more than the number''.

Let us break down the statement into an algebraic expression

FIRST PART

Let 'n' be the number

so

The product of '6' and a number 'n' = 6n

∵Because 6 is a coefficient and n is a variable

now

8 less than the product of 6 and a number 'n' will be: 8-6n

2ND PART

5 more than the number 'n' means we need to add '5' into a number 'n'

i.e

5+n

COMBINE STATEMENT

Thus, the combined statement ''8 less than the product of 6 and a number is the same as 5 more than the number'' can be written as:

8-6n = 5+n

Thus, the algebraic expression will be:

VERIFICATION:

Let us verify by finding the value of n

8-6n = 5+n

8-5 = 7n

7n = 3

n = 3/7

substituting n=3/7 in the equation

8-6n = 5+n

8 - 6(3/7) = 5+(3/7)

38/7 = 38/7

TRUE

Thus, the equation is true.

answer: 4

step-by-step explanation: