Question

How do you write, solve and check your solutions to \[5g=20\]?

Answer 1

Hint: In this question, we are given a mathematical expression that is a combination of both numerical and alphabets, these types of equations are called algebraic expressions. Thus, the equation given is an algebraic equation. We are going to separate the terms and find the required value of g.

Complete step-by-step solution:
In simple words, the representation of numbers by alphabets in a formula or equation involving mathematical operations is called algebra.
Hence, the given equation is an algebraic equation. On the right-hand side, we are given 5g, 5g means 5 times of g and the left-hand side is 20, which is a constant. Now the given equation contains only one unknown quantity and we have one equation to solve it, so it can be solved easily by applying arithmetic operations like addition, subtraction multiplication and division.
Let us solve & check the given equation,
We have to solve \[5g=20\]
Hence when \[5g=20\],
If we send 5 to the right-hand side, we get
\[g=\dfrac{20}{5}\]
\[\therefore g=4\].
Checking the solution for \[5g=20\]
Dividing the whole equation by \[5\]
\[\Rightarrow \dfrac{5g}{5}=\dfrac{20}{5}\]
Therefore, \[g=4\].
So, the correct answer is \[''g=4''\].

Note: From the definition of algebra, we have to first simplify the given equation and to solve the given equation for the value of g, so we all the terms containing g to one side of the equation and the other terms to the other side then we apply the given arithmetic operations.
For finding the value of n unknown variables, we require n number of equations, here we have to find the value of only one unknown quantity, we can solve similar questions using the above-mentioned method.