Question

How do you solve $7.5x+40=70$?

Answer 1

Hint: By solving the given equation we have to find the value of x. To solve the given equation first we will shift all the constant terms at the RHS and keep the variable terms at the LHS. Then we will simplify the given algebraic operations like addition, subtraction, multiplication and division to get the desired answer.

Complete step-by-step solution:
We have been given an equation $7.5x+40=70$.
We have to solve the given equation and find the value of the unknown variable x.
In order to solve the given equation first let us shift all the constant terms at the RHS and keep the variable term at the LHS. Then we will get
$\Rightarrow 7.5x=70-40$
Now, simplifying the above obtained equation we will get
$\Rightarrow 7.5x=30$
Now, in order to find the value of x let us divide the whole equation by 7.5, then we will get
$\Rightarrow \dfrac{7.5}{7.5}x=\dfrac{30}{7.5}$
Now, simplifying the above obtained equation we will get
$\Rightarrow x=4$
So by solving the given equation we get the value as $x=4$.

Note: As the given equation is a linear equation in one variable. A linear equation in one variable has one unknown variable and has only one solution. As it is a simple question so avoid calculation mistakes. Be careful while shifting the terms from LHS to RHS and vice-versa. Even a single sign mistake also leads to the wrong answer.