Question
Question: How do you solve \(5(x - 9) = - 15\)?...
How do you solve 5(x−9)=−15?
Solution
In order to determine the value of variable x in the above equation, divide both sides of the equation with the number 5 and use the rules of transposing terms to transpose terms having (x) on the Left-hand side and constant value terms on the Right-Hand side of the equation. Solving like terms will lead to your required result.
Complete step by step solution:
We are given a linear equation in one variable 5(x−9)=−15 and we have to solve this equation for variable (x).
⇒5(x−9)=−15
Dividing both sides of the equation with the number 5,we get
⇒55(x−9)=−515 ⇒x−9=−3
Now combining like terms on both of the sides. Terms having x will on the Left-Hand side of the equation and constant terms on the right-hand side.
Let’s recall one basic property of transposing terms that on transposing any term from one side to another the sign of that term gets reversed .In our case,−9 on the left hand side will become +9 on the right hand side .
After transposing terms our equation becomes
⇒x=−3+9
Now, solving the Right-hand side, the value of xis
⇒x=6
Therefore, the solution to the equation 5(x−9)=−15is equal to x=6.
Additional Information:
Linear Equation: A linear equation is a equation which can be represented in the form of ax+c where x is the unknown variable and a,c are the numbers known where a=0.If a=0then the equation will become a constant value and will no more be a linear equation. The degree of the variable in the linear equation is of the order 1.
Every Linear equation has 1 root.
Note:
1. One must be careful while calculating the answer as calculation error may come.
2.Distributive proper is also known as the distributive law of multiplication or division.