Solveeit Logo

Question

Question: Solve \[10x = - 70\]....

Solve 10x=7010x = - 70.

Explanation

Solution

The above given expression is an example of a one step equation. In order to solve it we need to manipulate the given equation in such a way that we should get xxby itself. In order to getxxby itself we can perform any arithmetic operations on both LHS and RHS equally at the same time such that the equality of the given equation doesn’t change.

Complete step by step solution:
Given
10x=70...................................(i)10x = - 70...................................\left( i \right)
Now in order to solve the given equation we need to solve forxx.
Such that we have to manipulate the given equation in terms of onlyxx, which can be achieved by performing different arithmetic operations on both LHS and RHS equally.
So to isolate the xxterm from equation (i) we can divide 1010from both the LHS and RHS, since dividing the term 1010to the LHS will isolate the term xxalone by canceling the term1010.
Dividing 1010to both LHS and RHS of equation (i) we get:
10x10=7010...............................(ii)\dfrac{{10x}}{{10}} = - \dfrac{{70}}{{10}}...............................\left( {ii} \right)
On simplifying (ii) we can get the final answer.
Such that:

10x10=7010 x=7.....................(iii) \dfrac{{10x}}{{10}} = - \dfrac{{70}}{{10}} \\\ x = - 7.....................\left( {iii} \right) \\\

Therefore on simplifying 10x=7010x = - 70 we get x=7x = - 7.

Note:
A one-step equation is an equation that can be solved in a single step. The equation is said to be true when we find the value of the variable which makes the equation true. We can also check if the value of the variable that we got is true or not by substituting the value of the variable back into the equation and checking whether it satisfies the given equation or not.