How do you solve $\dfrac{x}{7} - 0.5 = 2.5$?
Answer
619.5k+ views
Hint: Here we will simplify the given expression using the basic properties. First will bring all the constants on one side of the equation and then simplify accordingly for the resultant required value for “x”.
Complete step-by-step solution:
Constants are the terms with fixed value such as the numbers it can be positive or negative whereas the variables are terms which do not have any fixed value and are denoted by small alphabets such as x, y, z, a, b, etc.
Take the given expression:
$\dfrac{x}{7} - 0.5 = 2.5$
Observe the above equation, move the term without any variable that is constant on the right hand side of the equation. Remember when you move any term from one side to another sign of the term also changes. Negative terms become positive.
$ \Rightarrow \dfrac{x}{7} = 2.5 + 0.5$
Simplify the above equation. When you add two positive terms, the resultant value is always positive.
$ \Rightarrow \dfrac{x}{7} = 3$
Perform cross multiplication in which the denominator of one side is multiplied with the numerator of the opposite side and vice versa.
$ \Rightarrow x = 3 \times 7$
Simplify the above equation.
$ \Rightarrow x = 21$
This is the required solution.
Note: Be careful about the sign convention when you move any term from one side to another. Always remember when any term is moved from one side to another then the sign of the term changes. Positive term becomes negative and negative term becomes positive. Be good in multiples and division. Since it is the most important fundamental to solve and simplify any mathematical expression. Remember multiples till twenty numbers.
Complete step-by-step solution:
Constants are the terms with fixed value such as the numbers it can be positive or negative whereas the variables are terms which do not have any fixed value and are denoted by small alphabets such as x, y, z, a, b, etc.
Take the given expression:
$\dfrac{x}{7} - 0.5 = 2.5$
Observe the above equation, move the term without any variable that is constant on the right hand side of the equation. Remember when you move any term from one side to another sign of the term also changes. Negative terms become positive.
$ \Rightarrow \dfrac{x}{7} = 2.5 + 0.5$
Simplify the above equation. When you add two positive terms, the resultant value is always positive.
$ \Rightarrow \dfrac{x}{7} = 3$
Perform cross multiplication in which the denominator of one side is multiplied with the numerator of the opposite side and vice versa.
$ \Rightarrow x = 3 \times 7$
Simplify the above equation.
$ \Rightarrow x = 21$
This is the required solution.
Note: Be careful about the sign convention when you move any term from one side to another. Always remember when any term is moved from one side to another then the sign of the term changes. Positive term becomes negative and negative term becomes positive. Be good in multiples and division. Since it is the most important fundamental to solve and simplify any mathematical expression. Remember multiples till twenty numbers.
Recently Updated Pages
If x a + bt + ct2 where x is in meters and t is in class 11 physics CBSE

A car covers the first half distance between two places class 11 physics CBSE

The resultant of two vectors overrightarrow P and overrightarrow class 11 physics CBSE

Find the value of cos 135 class 11 maths CBSE

A mass M is held in place by an applied force F and class 11 physics CBSE

A solution of glucose in water is labelled as 10 dfracwv class 11 chemistry CBSE

Trending doubts
Find the value of the expression given below sin 30circ class 11 maths CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Draw a diagram of nephron and explain its structur class 11 biology CBSE

10 examples of friction in our daily life

Proton was discovered by A Thomson B Rutherford C Chadwick class 11 chemistry CBSE

Bond order ofO2 O2+ O2 and O22 is in order A O2 langle class 11 chemistry CBSE

