Question

solve the pair of linear equation by any method 5x +3y= 19 and 16x -7y = 11​

Answer 1

Answer:

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Answer 2

Answer:

PAIR OF LINEAR EQUATION:

5X+3Y=19...........equation 1.

16X-7Y=11...........equation 2.

USING SUBSTITUTION METHOD:

LET'S SOLVE OF X IN EQUATION 2.

$16x - 7y = 11 \\ = > 16x = 11 + 7y \\ = > x = \frac{11 + 7y}{16}$

NOW SUBTITUTING IT IN EQUATION 1.

$5x + 3y = 19 \\ = > 5 \times \frac{11 + 7y}{16} + 3y = 19 \\ = > \frac{55 + 35y}{16} + 3y = 19 \\ = > \frac{55 + 35y + 48y}{16} = 19 \\ = > 55 + 83y = 19 \times 16 = 304 \\ = > 83y = 304 - 55 = 249 \\ = > y = \frac{249}{83} = 3$

WE GET Y=3

NOW SUBTITUTE THIS VALUE ANY OF THESE EQUATIONS TO GET CORRESPONDING VALUE OF X.

SUBTITUTING IN EQUATION 1.

$5x + 3y = 19 \\ = > 5x + 9 = 19 \\ = > 5x = 19 - 9 = 10 \\ = > x = \frac{10}{5} = 2$