Solve this equation 7x + 1 /16 = 1 /2 Algebra

Question

asked Dec 6, 2023 55.0k views

2 Answers

BennyP · Answer 1 · 2023-12-12T02:40:09+0000

Answer:

${\boxed{\sf{x = (1)/(16)}}}$

Step-by-step explanation:

CONCEPT :

Here, we will use the below following steps to find a solution using the transposition method:

Step 1 :- we will Identify the variables and constants in the given simple equation.
Step 2 :- then we Simplify the equation in LHS and RHS.
Step 3 :- Transpose or shift the term on the other side to solve the equation further simplest.
Step 4 :- Simplify the equation using arithmetic operation as required that is mentioned in rule 1 or rule 2 of linear equations.
Step 5 :- Then the result will be the solution for the given linear equation.

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SOLUTION :

To solve this equation we will follow the given concept :

${:\implies{\tt{7x + (1)/(16) = (1)/(2)}}}$

${:\implies{\tt{7x = (1)/(2) - (1)/(16)}}}$

${:\implies{\tt{7x = ((1 * 8) -1)/(16)}}}$

${:\implies{\tt{7x = ((8) -1)/(16)}}}$

${:\implies{\tt{7x = (8 - 1)/(16)}}}$

${:\implies{\tt{7x = (7)/(16)}}}$

${:\implies{\tt{x = (7)/(16) * (1)/(7) }}}$

${:\implies{\tt{x = \frac{\cancel{7}}{16} * \frac{1}{ \cancel{7}}}}}$

${:\implies{\tt{x = (1)/(16) * 1}}}$

${:\implies{\tt{x = (1)/(16)}}}$

${ \star{\underline{\boxed{\sf{\red{x = (1)/(16)}}}}}}$

Hence, the value of x is 1/16.

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