Question
Question: How do you solve 7r+7-6r=13?...
How do you solve 7r+7-6r=13?
Solution
We are asked to find the solution of 7r+7-6r=13. Firstly, we will learn what linear equations are in 1 variable term. We will use a hit and trial method to find the value of ‘r’. In this method, we put the value of ‘r’ one by one by hitting arbitrary values and looking for the needed values. Once we work with a hit and trial method we will try another method where we apply algebra. We subtract, add or multiply terms to get to our final term and get our required solution. We will also learn to do the questions using algebraic operations which makes them easy.
Complete answer:
We are given that we have 7r+7-6r=13. We are asked to find the value of ‘r’, or we are asked how we will be able to solve this expression.
We will first learn about the equation on one variable. One variable simply represents the equation that has one variable (say x, y, or z) and another one constant.
For Example: x+2=4, 5-x=2, 2x, 2y etc.
Our equation 7r+7-6r=13 also has just one variable ‘r’.
We have to find the value of ‘r’ which will satisfy our given equation.
Firstly we try by the method of hit and trial, in which we will put different values of ‘r’ and take which
one fits the solution correctly.
Let r=0.
Putting r=0 in 7r+7-6r=13, we get,
7×0+7−6×0=13
So, 7=13.
Which is not the solution.
Let r=2.
Putting r=2 in 7r+7-6r=13, we get,