Maths-
General
Easy
Question
How many solutions does this equation have 2(6x+9-3x) = 5x+21
Hint:
When a given equation has only 1 value that can be substituted for the variable which will satisfy the given equation, the said equation has only 1 solution. i.e. after simplifying the equation, we will get a single value as the solution for x.
We will simplify the given equation and the number of values we get for the variable.
The correct answer is: The given equation i.e. 2 (6x + 9 - 3x) = 5x + 21 can be classified as an equation with only one solution
Step-by-step solution:-
Simplifying the given equation i.e. 2(6x + 9 - 3x)= 5x + 21, we get-
2(6x + 9 - 3x) = 5x + 21
∴ 12x + 18 - 6x = 5x + 21 ................................. (Opening the bracket and multiplying the number with entire expression on LHS)
∴ 12x - 6x - 5x = 21 - 18 .................................. (Taking variables and constants on either side of the equation)
∴ x = 3
Since after simplifying the given equation, we get a single value of x i.e. 3 that will satisfy the given equation, we can conclude that the given equation has 1 solution.
Final Answer:-
∴ The given equation i.e. 2 (6x + 9 - 3x) = 5x + 21 can be classified as an equation with only one solution.
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