Question

02) Find the value of variable by systematic method 3y+7=16 ( 5 marks)​

Answer 1

Answer:

Rule 1) We can add the same number to both sides of the equation, i.e., if x + 5 = 7, then x + 5 + 2 = 7 + 2.

Rule 2) We can subtract the same number from both sides of the equation, i.e., if x + 5 = 7, then x – 5 – 2 = 7 – 2.

Rule 3) We can multiply both sides of the equation by the same non-zero number, i.e., if \frac{x}{3} = 4, then (\frac{x}{3})(6) = (4)(6). Also, (\frac{x}{3})(3) = (4)(3).

Rule 4) We can divide both sides of the equation by the same non-zero number, i.e., if 3x = 10, then \frac{3x}{3} = \frac{10}{3}. Also, \frac{3x}{5} = \frac{10}{5}.

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

$\bf\: 3y \: + \: 7 \: = \: 16\\\\\implies \: 3y \: = \: 16 \: - \: 7\\\\\implies \: 3y \: = \: 9\\\\\implies \: y \: = \frac{9}{3}$

$\bf\therefore\: y \: = \:3$