Question

solve x and y respectively

1) x+7-8x/3 = 17/6-5x/8
2) 5y-3//2y+1 = 2/5

Answer 1

Step-by-step explanation:

$1) \: x + 7 - \frac{ 8x}{ 3} = \frac{17}{6} - \frac{5x}{8} \\ \frac{3x + 21 - 8x}{3} = \frac{68 - 15x}{24} \\\frac{ 21 - 5x}{1} = \frac{68 - 15x}{8} \\ cross \: multiply : \\ 8(21 - 5x) = 68 - 15x \\ 168 - 40x = 68 - 15x \\ 168 - 68 = 40x - 15x \\ 100 = 25x \\ x = 4 \\ 2) \: \frac{5y - 3}{2y + 1} = \frac{2}{5} \\ cross \: multiply : \\ 5(5y - 3) = 2(2y + 1) \\ 25y - 15 = 4y + 2 \\ 25y - 4y = 15 + 2 \\ 21y = 17 \\ y = \frac{17}{21}$

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