Question

(3)
(3x + 2 y =13
14x-3y=6 in substitution method
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Answer 1

Step-by-step explanation:

3x + 2y = 13

14x - 3y = 6

multiply eq 1 by 3 and eq 2 by 2..

9x + 6y = 39 ..(1)

28x - 6y = 12 ...(2)

adding eq 1 and 2

x = 51/37

now put value of x in eq 1

y = 164/37

Answer 2

Answer:

14x - 3y = 6

14x = 3y + 6

x =

$\frac{3y + 6}{14}$

14x - 3y = 6

- 3y = 6 - 14x

$y = \frac{14x - 6}{3}$

$3( \frac{3y + 6}{14} ) + 2y = 13 \\ = > \frac{9y + 18}{14} + 2y = 13 \\ \frac{28y + 9y + 18}{14} = 13 \\ 37y = 13 \times 14 - 18 \\ 37y = 164 \\ = > y = 4.43$

y = 4.43

x = 3 ( 4.43 ) + 6 / 14

x = 1.37