Question

(1) 7x- 15y = 2
x+2y=3​

Answer 1

7x - 15 y = 2 ........1.

x + 2y = 3

x = 3 - 2 y .........2.

putting 2. in 1.

7 ( 3 - 2y ) - 15 y = 2

21 - 14 y - 15 y = 2

- 14 y - 15 y = 2 - 21

- 29 y = - 19

y = 19 / 29 ...........3.

putting 3. in 2.

x = 3 - 2 y

x = 3 - 2 * 19 / 29

x = 1* 19 / 29

x = 19 / 29

to verify :

putting these values in 2.

19 / 29 = 3 - 2 * 19 / 29

19 / 29 = 1 * 19 / 29

19 / 29 = 19 / 29

19 / 29 = 19 / 29hence , verified

regards ♥✔️✔️

mark me brainliest dear

Answer 2

Answer:

$7x - 15y = 2 \\ \: \implies7x = 2 + 15y \\ \implies \: x = \frac{2 + 15y}{7} \: \: \: \: \: \rightarrow(i) \\ \\ x + 2y = 3 \\ \implies\frac{2 + 15y}{7} + 2y = 3 \: (putting \: x = \frac{2 + 15y}{7} ) \\ \implies \frac{2 + 15y + 14y}{7} = 3 \\ \implies15y + 14y = 3 \times 7 - 2 \\ \implies29y = 21 - 2 \\ \implies \: y = \frac{19}{29} \\ \\ \\ \: \: substituting \: the \: value \: of \: y \: in \: equation \: (i) \\ 7x - 15 \times \frac{19}{29} = 2 \\ \implies7x - \frac{285}{29} = 2 \\ \implies7x = 2 + \frac{285}{29} \\ \implies7x = \frac{58 + 285}{29} \\ \\ \: \implies7x = \frac{343}{29 } \\ \\ \implies \: x = \frac{343}{203} \\ \\ \implies \: x = \frac{49}{29} \\ \\ \therefore \: x = \frac{49}{29} \\ \\ y = \frac{19}{29}$