Question
Question: Solve \[10x = - 70\]....
Solve 10x=−70.
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 xby itself. In order to getxby 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)
Now in order to solve the given equation we need to solve forx.
Such that we have to manipulate the given equation in terms of onlyx, which can be achieved by performing different arithmetic operations on both LHS and RHS equally.
So to isolate the xterm from equation (i) we can divide 10from both the LHS and RHS, since dividing the term 10to the LHS will isolate the term xalone by canceling the term10.
Dividing 10to both LHS and RHS of equation (i) we get:
1010x=−1070...............................(ii)
On simplifying (ii) we can get the final answer.
Such that:
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.