Question

Solve \[10x = - 70\].

Answer 1

Hint: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 $x$by itself. In order to get$x$by 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
\[10x = - 70...................................\left( i \right)\]
Now in order to solve the given equation we need to solve for$x$.
Such that we have to manipulate the given equation in terms of only$x$, which can be achieved by performing different arithmetic operations on both LHS and RHS equally.
So to isolate the $x$term from equation (i) we can divide $10$from both the LHS and RHS, since dividing the term $10$to the LHS will isolate the term $x$alone by canceling the term$10$.
Dividing $10$to both LHS and RHS of equation (i) we get:
\[\dfrac{{10x}}{{10}} = - \dfrac{{70}}{{10}}...............................\left( {ii} \right)\]
On simplifying (ii) we can get the final answer.
Such that:
\[
\dfrac{{10x}}{{10}} = - \dfrac{{70}}{{10}} \\
x = - 7.....................\left( {iii} \right) \\
\]
Therefore on simplifying \[10x = - 70\] we get \[x = - 7\].

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.