<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3x%2B2%7D%7B5%7D%3D31" id="TexFormula1" title="\frac{3x+2}{5}=31" alt="\frac{3x+2}{5

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Ostrovityanka [42]

3 years ago

}=31" align="absmiddle" class="latex-formula">

Mathematics

1 answer:

bixtya [17]3 years ago

6 0

Answer:

x = 51

Step-by-step explanation:

Solve for x:

(3 x + 2)/5 = 31

Multiply both sides of (3 x + 2)/5 = 31 by 5:

1 (3 x + 2) = 5×31

(5 (3 x + 2))/5 = 5/5×(3 x + 2) = 3 x + 2:

3 x + 2 = 5×31

5×31 = 155:

3 x + 2 = 155

Subtract 2 from both sides:

3 x + (2 - 2) = 155 - 2

2 - 2 = 0:

3 x = 155 - 2

155 - 2 = 153:

3 x = 153

Divide both sides of 3 x = 153 by 3:

(3 x)/3 = 153/3

3/3 = 1:

x = 153/3

The gcd of 153 and 3 is 3, so 153/3 = (3×51)/(3×1) = 3/3×51 = 51:

Answer: x = 51

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