Question

How do you solve $1.1x + 1.2x - 5.4 = - 10$?

Answer 1

Hint: According to the question given in the question we have to determine the solution of the expression $1.1x + 1.2x - 5.4 = - 10$ as mentioned in the question. So, first of all to determine the required solution of the given linear expression of one variable which is x or to determine the value of x we have to rearrange the terms of the expression which can be done by taking all the variable one side of the expression and other integers to the other side of the expression.
Now, we have to add all the variables of the expression as obtained after rearranging all the terms.
Now, we have to add or subtract the integers which can be added and subtracted to simply the expression.
Now, to obtain the value of the variable x we have to apply the cross-multiplication which will be the solution of the given linear expression.

Complete step-by-step solution:
Step 1: First of all to determine the required solution of the given linear expression of one variable which is x or to determine the value of x we have to rearrange the terms of the expression which can be done by taking all the variable one side of the expression and other integers to the other side of the expression. Hence,
$ \Rightarrow 1.1x + 1.2x = 5.4 - 10$
Step 2: Now, we have to add all the variables of the expression as obtained after rearranging all the terms. Hence,
$ \Rightarrow 2.3x = 5.4 - 10$
Step 3: Now, we have to add or subtract the integers which can be added and subtracted to simply the expression.
$ \Rightarrow 2.3x = - 4.6$
Step 4: Now, to obtain the value of the variable x we have to apply the cross-multiplication which will be the solution of the given linear expression. Hence,
$
   \Rightarrow x = - \dfrac{{4.6}}{{2.3}} \\
   \Rightarrow x = - 2
 $

Hence, we have determined the solution of the given linear expression $1.1x + 1.2x - 5.4 = - 10$ which is $x = - 2$.

Note: To determine the required value of the variable x it is necessary that we have to rearrange the terms of the linear expression which can be done by taking all the variables one side of the expression and other integers to the other side of the expression.
The value of the variable obtained will satisfy the expression or we can say that on substituting the obtained value of the variable x in the expression we will become 0.