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Ymorist [56]
3 years ago
8

Three times the sum of a number and 4 is 8 less than one-half the number. Write and solve equation to find the number.

Mathematics
2 answers:
Paraphin [41]3 years ago
5 0
<h3>Given</h3>

3 times the sum of a number and 4 is 8 less than half the number.

<h3>Find</h3>

an equation for the number

the number

<h3>Solution</h3>

Translating the given description to math symbols, we have

... 3(n +4) = -8 + n/2 . . . . . the equation

Eliminate parentheses

... 3n + 12 = -8 + n/2

... 3n = -20 + n/2 . . . . . . . subtract 12

... 2.5n = -20 . . . . . . . . . . subtract n/2

... n = -20/2.5 = -8 . . . . . divide by the coefficient of n

The number is -8.

_____

<u>Check</u>

3(-8+4) = -8 + (-8)/2

3(-4) = -8 -4

-12 = -12 . . . . . . . . . . . the answer works in the original problem

gizmo_the_mogwai [7]3 years ago
4 0

3(x+4)=(1/2)x-8 => 3x+12=(1/2)x-8 we will multiply equation with number 2 and we get 6x+12 = x-16 => 6x-x=-16-24 => 5x=-40 => x=-8

Good luck!!!

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