Question

How do you solve 3+2g = 5g-9?

Answer 1

Hint: In this question, we are given a mathematical expression that is a combination of both numerical values and alphabets, these types of equations are called algebraic expressions. Thus, the equation given in the equation is an algebraic equation. On the right-hand side, we are given 3+2g, 2g means 2 times of g and the left-hand side is 5g-9, where 5g means 5 times of g. 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. To solve this question, we rearrange the terms of the equation and find out the value of g.

Complete step-by-step answer:
We have to solve 3+2g = 5g-9
Rearranging the terms, we get –
3+9 = 5g-2g
12=3g
Therefore, g = 4
Hence, when 3+2g = 5g-9, g=4.
So, the correct answer is “g=4.”.

Note: In simple words, the representation of numbers by alphabets in a formula or equation involving mathematical operations is known as algebra. We have to first simplify the given equation and to solve the given equation for the value of g, so we move 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 values 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.