Question

In a one day cricket match, Raina and Dhoni scored 198 runs. Express this as a linear equation in two variables.

Answer 1

Hint:
Here, we have to frame the given form of the linear equation in two variables. We will assume the runs scored by Raina and Dhoni to be two distinct variables. Then we will use the definition of linear equation in two variables and express the given statement in the form of an equation using the assumed variables. A variable is an entity where it can take different values usually it is represented in the form of letters.

Complete step by step solution:
A linear equation in two variables is an equation in which both the variables have degree one. Linear equation in two variables is an equation which is in the form of \[ax + by + c = 0\] where \[a\] and \[b\] are not equal to zero.
Let \[x\] be the number of runs scored by Raina in a one day cricket match.
Let \[y\] be the number of runs scored by Dhoni in a one day cricket match.
We are given that the total number of runs scored by Raina and Dhoni in a one day cricket match is 198.
In other words, the sum of runs scored by Raina and runs scored by Dhoni is equal to 198.
Mathematically we can express the statement as:
\[x + y = 198\]

Therefore, the linear equation in two variables is given as \[x + y = 198\].

Note:
We should know that Linear equation is an equation with two unknown values. We can solve the linear equations only if two equations are known. If two equations are known, then the equation can be solved by using the graphical method, elimination method, cross-multiplication method and substitution method. Linear equation in one variable has only one variable and is expressed as \[ax + b = 0\].