Question

Solve the following simple equation: $14p = - 42$

Answer 1

Hint: The process of the inverse of multiplication method is called division. Like $x \times y = z$ is multiplication thus the division sees as $x = \dfrac{z}{y}$. Like $17x = 17 \Rightarrow x = \dfrac{{17}}{{17}} \Rightarrow x = 1$
Also, in subtraction which is the minus of given two or more than two numbers, but here comes with the condition that in subtraction the greater number sign represented in the number will stay constant example $2 - 3 = - 1$

Complete step-by-step solution:
Given that the equation is $14p = - 42$ and then we need to find the value of the unknown variable $p$, so we will make use of the basic mathematical operations to simplify further.
Hence using the division operation, divide both sides with the number $14$ then we have $14p = - 42 \Rightarrow \dfrac{{14p}}{{14}} = \dfrac{{ - 42}}{{14}}$. Since equal values in the numerator and denominator get cancel each other, thus we get $p = \dfrac{{ - 42}}{{14}}$
Now divide both the values with the common $2$ then we get $p = \dfrac{{\dfrac{{ - 42}}{2}}}{{\dfrac{{14}}{2}}} = \dfrac{{ - 21}}{7}$
Since in the seven multiple we have \[3 \times 7 = 21\] and hence we have $p = \dfrac{{ - 21}}{7} = - 3$ which is the unknown value of the given variable.
Hence $p = - 3$ is the required answer.

Note: We are going to make use of the basic operations, the addition is the sum of given two or more than two numbers, or variables and in addition, if we sum the two or more numbers then we obtain a new frame of the number will be found, which can be represented as $ + $ ,
Since multiplicand refers to the number multiplied. Also, note that multiplier refers to multiplying the first number. Have a look at an example; while multiplying $5 \times 7$the number $5$ is called the multiplicand and $ - 4x \geqslant - 8 \Rightarrow 4x \leqslant 8 \Rightarrow $the number $7$ is called the multiplier. Like $2 \times 3 = 6$ or which can be also expressed in the form of $2 + 2 + 2(3times)$. In this problem we get $x = - 42 \times 14 = - 588$