Question 500269
let n = "a number"
:
write an equation for exactly what it says
:
If 8 is added to 7 times a number and the sum is divided by 3, the result is the same as if then number is multipled by 5 and 6 is added to the product.
{{{(7n + 8)/3}}} = 5n + 6
get rid of the denominator, mult both sides by 3
7n + 8 = 3(5n+ 6)
7n + 8 = 15n + 18
7n - 15n = 18 - 8
-8n = 10
n = {{{10/(-8)}}}
n = -1.25
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Let's see if that works in the given statement
If 8 is added to 7 times a number and the sum is divided by 3, the result is the same as if then number is multiplied by 5 and 6 is added to the product.
{{{(7(-1.25) + 8)/3}}} = 5(-1.25) + 6
{{{(-8.75+ 8)/3}}} = -6.25 + 6
{{{(-.75)/3}}} = -.25; confirms our solution of n = -1.25