Question

How do you solve linear problems?

Answer 1

Hint: Linear can be defined as the first degree with respect to one or more variables. In other words, it can be defined as the equations of the first order. Linear equations may contain one or more variables.

Complete step by step solution:
Here, if the given question is linear, having word problems first of all we will read the given word statements twice and then will suppose any corresponding variable such as “x,y,z,…” and then will follow the steps or the conditions given to frame the linear equations.
Let us take an example:
Ram asked Shyam to think of the number, then to multiply it by $ 2 $ and subtract $ 5 $ from it and then the result is $ 13 $ .
Now to solve this linear problem assume that the unknown term is “x”,
Now as per the given conditions multiply it by $ 2 $ and subtracts $ 5 $ from it.
 $ \therefore 2x - 5 = 13 $
Now solve the above equation to get the unknown term. When you move any term from one side to another then the sign of the term also changes. Negative terms become positive and vice-versa.
 $ \therefore 2x = 13 + 5 $
Find addition for the terms on the right hand side of the equation.
 $ \therefore 2x = 18 $
Term multiplicative one side when moved to the opposite side then goes to the denominator.
 $ \therefore x = \dfrac{{18}}{2} $
Common factors from the numerator and the denominator cancel each other.
 $ \therefore x = 9 $
This is the required solution.

Note: Linear equations play an important role in science and even in many day-to-day applications. Linear equations allow scientists to describe the relationships between the two variables in the physical world. It also helps to make predictions, calculate rates, to make conversions among other things and many more.