Question

How do you solve $ \dfrac{x}{{ - 5}} + - 11 = - 9 $ ?

Answer 1

Hint: Take the given expression and move all the constants on one side and then simplify for the resultant required value of “x”. Get rid off fractions by performing L.C.M

Complete step by step solution:
Take the given expression: $ \dfrac{x}{{ - 5}} + - 11 = - 9 $
Move the term without the variable from the left hand side of the equation on the right hand side of the equation. When you move any term from one side of the equation to another then the sign of the term also changes. Positive terms become negative and vice versa. Also move constant on the right hand side of the equation.
 $ \dfrac{x}{{ - 5}} = - 9 + 11 $
Simplify the above expression, when you combine one negative and one positive term you have to do subtraction and give a bigger number to the resultant value.
 $ \dfrac{x}{{ - 5}} = 2 $
Perform cross multiplication, where the denominator of the one side is multiplied with the numerator of the opposite side.
 $ \Rightarrow x = 2( - 5) $
Simplify the above expression by finding the product of the terms in the above expression.
 $ \Rightarrow x = ( - 10) $
This is the required solution.
So, the correct answer is “x = ( - 10)”.

Note: Be careful while simplification of these types of sums, always follow the same pattern DMAS. Remember and be careful about the sign convention.
Be careful about the sign while doing simplification and remember the golden rules-
I.Addition of two positive terms gives the positive term
II.Addition of one negative and positive term, you have to do subtraction and give sign of bigger numbers whether positive or negative.
III.Addition of two negative numbers gives a negative number but in actual you have to add both the numbers and give a negative sign to the resultant answer.
IV.Product of two positive terms gives resultant value in positive.
V.Product of two negative terms gives resultant value in positive.
VI.Product of one positive and one negative term gives value in negative