Answer

Verified

417.6k+ views

**Hint:**As we know that the above given equation $a = p + prt$ is a linear equation. An equation for a straight line is called a linear equation. The standard form of linear equations in two variables is $Ax + By = C$ . When an equation is given in this form it’s also pretty easy to find both intercepts $(x,y)$. By transferring the positive $a$ to the right hand side value gives the required solution.

**Complete step by step solution:**

As we know that the above given equation is a linear equation and to solve for $t$ we need to isolate the term containing $t$ on the left hand side i.e. to simplify $a = p + prt$ and solving for variable $t$ , move all the terms containing $p,r$ to the right.

Here we will transfer the $ + p$ to the right hand side and we get $a - p = prt$.

Now since both $p$ and $r$ are being multiplied in left hand side, so when we will transfer it to the right hand side it will turn into division: $\dfrac{{a - p}}{{pr}} = t$. It can also be written as

$\dfrac{a}{{pr}} - \dfrac{p}{{pr}} = t$.

**Hence the required value of $t$ is $\dfrac{{a - p}}{{pr}}$.**

**Note:**We should keep in mind the positive and negative signs while calculating the value of any variable as it will change it’s slope and value. In the equation $Ax + By = C$ ,$A$ and $B$are real numbers and $C$ is a constant, it can be equal to zero$(0)$ also. These types of equations are of first order. Linear equations are also first-degree equations as it has the highest exponent of variables as $1$ . The slope intercept form of a linear equation is $y = mx + c$ ,where $m$ is the slope of the line and $b$ in the equation is the y-intercept and $x$ and $y$ are the coordinates of x- axis and y-axis , respectively.

Recently Updated Pages

what is the correct chronological order of the following class 10 social science CBSE

Which of the following was not the actual cause for class 10 social science CBSE

Which of the following statements is not correct A class 10 social science CBSE

Which of the following leaders was not present in the class 10 social science CBSE

Garampani Sanctuary is located at A Diphu Assam B Gangtok class 10 social science CBSE

Which one of the following places is not covered by class 10 social science CBSE

Trending doubts

Derive an expression for drift velocity of free electrons class 12 physics CBSE

Which are the Top 10 Largest Countries of the World?

Write down 5 differences between Ntype and Ptype s class 11 physics CBSE

The energy of a charged conductor is given by the expression class 12 physics CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Derive an expression for electric field intensity due class 12 physics CBSE

How do you graph the function fx 4x class 9 maths CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Derive an expression for electric potential at point class 12 physics CBSE