Question

Q45
12x-31=9
13y - 21=7
For the equations shown above, which of the following is a possible value of x + y?
Il. 0
III. 6
A) I only
B) I only
C) I and II only
D) I and ill only​

Answer 1

Step-by-step explanation:

$12x - 31 = 9 \\ 12x = 9 + 31 \\ 12x = 40 \\ x = \frac{40}{12} \\ \\ x = \frac{10}{3}$

$13y - 21 = 7 \\ 13y = 7 + 21 \\ 13y = 28 \\ y = \frac{28}{13}$

$x + y \\ put \: value \: of \: x \: and \: y \: \\ = \frac{10}{3} + \frac{28}{13} \\ = take \: l.c.m. \\ = \frac{10(13) + 28(3)}{13 \times 3} \\ \\ = \frac{130 + 84}{49} \\ \\ = \frac{214}{49} \\ \\ = sum \: is \: complete$

so, answer is

$\frac{214}{49}$

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