Question

3 - 4 - 2 = 0
4x+3y-24=0 by substituting ​

Answer 1

Answer:

$3x - 4y = 2.....i \\ 4x + 3y = 24........ii \\ \\ multiplying \: eq \: i \: by \: 3 \\ \\ 3(3x - 4y) = 2 \times 3 \\ \\ 9x - 12y = 6......iii \\ \\ multiplying \: eq \: ii \: by \: 4 \\ \\ 4(4x + 3y) = 24 \times 4 \\ \\ 16x + 12y = 96........iv \\ \\ adding \: equation \: iii \: and \: iv \: \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: 9x - 12y = 6 \\ ( + ) \: \: \: \: 16x + 12y = 96 \\ \\ 25x = 102 \\ \\ x = \frac{102}{25} \\ \\ substituting \: the \: value \: of \: x \: in \: the \: eq \: i \: \\ \\ 3( \frac{102}{25}) - 4y = 2 \\ \\ \frac{306}{25} - 4y = 2 \\ \\ - 4y= 2 - \frac{306}{25} \\ \\ - 4y = \frac{50 - 306}{25} \\ \\ - 4y = \frac{ - 256}{25} \\ \\ y = \frac{ - 256}{25( - 4)} \\ \\ y = \frac{64}{25} \\ \\ \\ so \: x = \frac{102}{25} \\ y = \frac{64}{25}$

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