Question

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

Answer 1

Answer: 1/16

Step-by-step explanation:

1/2 - 1/16 = 8/16 - 1/16 = 7/16

7/16 / 7 = 1/16

Answer 2

Answer:

${\boxed{\sf{x = \dfrac{1}{16}}}}$

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 :

${:\implies{\tt{7x + \dfrac{1}{16} = \dfrac{1}{2}}}}$

${:\implies{\tt{7x = \dfrac{1}{2} - \dfrac{1}{16}}}}$

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

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

${:\implies{\tt{7x = \dfrac{8 - 1}{16}}}}$

${:\implies{\tt{7x = \dfrac{7}{16}}}}$

${:\implies{\tt{x = \dfrac{7}{16} \times \dfrac{1}{7} }}}$

${:\implies{\tt{x = \dfrac{\cancel{7}}{16} \times \dfrac{1}{ \cancel{7}}}}}$

${:\implies{\tt{x = \dfrac{1}{16} \times 1}}}$

${:\implies{\tt{x = \dfrac{1}{16}}}}$

${ \star{\underline{\boxed{\sf{\red{x = \dfrac{1}{16}}}}}}}$

Hence, the value of x is 1/16.

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