Question

7x-15y=2 and x+2y=3 by elimination method

Answer 1

Answer:

x = 49/29

y = 19/29

Step-by-step explanation:

Using Elimination method,

7x - 15y = 2 ------ (i)

(x + 2y = 3) × 7 ----- (ii)

7x + 14y = 21 ------ (iii)

Subtract (iii) - (i)

7x + 14y - (7x - 15y) = 21 - 2

7x + 14y - 7x + 15y = 19

29y = 19

$y=\frac{19}{29}$

7x - 15y = 2

$7x - 15(\frac{19}{29} ) = 2\\\\7x-\frac{285}{29} =2\\\\7x=2+\frac{285}{29} \\\\7x=\frac{58+285}{29} \\\\x=\frac{343}{203} \\\\x=\frac{49}{29}$