Question

Solve $ 7x - 10 = 4x + 11 $ for the value of x.

Answer 1

Hint: Given equation is a linear equation because the highest exponent of x is 1. To solve the given equation send ‘4x’ to the RHS and 10 to LHS. Then solve for x.

Complete step-by-step answer:
We are given an equation $ 7x - 10 = 4x + 11 $ and we have to find the value of x.
Given equation has a LHS and a RHS and on both sides the highest power of x is 1 so, the given equation is a linear equation in one variable.
 $ 7x - 10 = 4x + 11 $
Now, send the term 4x to the left side and -10 to the right side.
 $ 7x - 4x = 11 + 10 $
Subtract 4x from 7x and add 10 to 11.
 $ 3x = 21 $
Now send 3 to the right side and divide 21 by 3
 $ x = \dfrac{{21}}{3} = 7 $
The value of x is 7.
Substitute the value of x in the given equation $ 7x - 10 = 4x + 11 $ to test whether the value we got is correct or not.
 $
  7x - 10 = 4x + 11 \\
  7\left( 7 \right) - 10 = 4\left( 7 \right) + 11 \\
  49 - 10 = 28 + 11 \\
  39 = 39 \\
  $
The left hand side is equal to the right hand side.
Therefore, the value of x is 7.

Note: A linear equation is an equation of a straight line having maximum one variable. The power of the variable will be 1. To solve any equation in one variable, put all the variable terms on the left hand side and all the numerical values on the right hand side for an easy approach.