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Can someone help pls 16=3x-7/2

User Bon Ryu
by
8.1k points

2 Answers

4 votes

Answer: To solve the equation 16=3x-7/2, you can follow these steps:

Multiply both sides of the equation by 2 to get rid of the fraction:

16 * 2 = (3x - 7/2) * 2

32 = 6x - 7

Add 7 to both sides of the equation to isolate the term with x:

32 + 7 = 6x

39 = 6x

Divide both sides of the equation by 6 to solve for x:

39 / 6 = x

6.5 = x

Therefore, the solution to the equation 16=3x-7/2 is x = 6.5.

Explanation:

User Nick Klauer
by
8.8k points
3 votes

Answer:

ㅤㅤ
\large{\blue{\star} \: {\underline{\boxed{\pmb{\tt{x = (13)/(2)}}}}}}

Explanation:


\large{\pmb{\tt{16 = 3x - (7)/(2)}}}


\large{\pmb{\tt{\leadsto{16 + (7)/(2) = 3x}}}}


\large{\pmb{\tt{\leadsto{(2 * 16 + 7)/(2) = 3x}}}}


\large{\pmb{\tt{\leadsto{(32 + 7)/(2) = 3x}}}}


\large{\pmb{\tt{\leadsto{(39)/(2) = 3x}}}}


\large{\pmb{\tt{\leadsto{39 = 2 * 3x}}}}


\large{\pmb{\tt{\leadsto{39 = 6x}}}}


\large{\pmb{\tt{\leadsto{\frac{\cancel{39}}{\cancel{6}} = x}}}}


\large{\purple{\boxed{\pmb{\tt{\leadsto{(13)/(2) = x}}}}}}

━━━━━━━━━━━


\large{\underline{\underline{\sf{Verification:-}}}}

• Substituting the value of (x) in the given equation,


\large{\pmb{\tt{\leadsto{16 = 3 * (13)/(2) - (7)/(2)}}}}


\large{\pmb{\tt{\leadsto{16 = (39)/(2) - (7)/(2)}}}}


\large{\pmb{\tt{\leadsto{16 = (39 - 7)/(2)}}}}


\large{\pmb{\tt{\leadsto{16 = \frac{\cancel{32}}{\cancel{2}}}}}}


\large{\pmb{\tt{\leadsto{16 = 16}}}}

As LHS = RHS,

Hence Verified

User Segabond
by
7.7k points