Question

X/6=y-6
3x/4=1+y
use elimination method​

Answer 1

Answer:

$y = \frac{5}{2}$

$x = \frac{14}{3}$

Step-by-step explanation:

$\frac{x}{6} = y - 6 \\ cross \: multiply \\ \\ x = 6(y - 6) \\ x = 6y - 36 \\ x - 6y = - 36..........(1) \\ \\ \frac{3x}{4} = 1 + y \\ cross \: multiply \\ \\ 3x = 4(1 + y) \\ 3x = 4 + 4y \\ 3x - 4y = 4.......(2) \\ \\ multiply \: (1) \: with \: 3 \\ 3(x - 6y = - 36) \\ 3x - 18y = - 108 .......(3) \\ now \: elimilat \: (2) \: \: and \: \: \: (3) \\ \\ 3x - 18y = - 36 \\ 3x - 4y \: \: = 4 \\ - \: \: + \: \: \: \: \: \: \: \: \: \: \: - \\ - - - - - - \\ \: \: \: \: \: \: \: - 16y = - 40 \\ \: \: \: \: \: \: \: \: \: \: 16y = 40 \\ \: \: \: \: \: \: \: \: \: \: y = \frac{40}{16} \\ \\ \: \: \: \: \: \: \: \: \: \: y = \frac{5}{2} \\ \\ put \: y \: vaule \: in \: (2) \\ \\ 3x - 4y = 4 \\ \\ so \\ \\ 3x - 4( \frac{5}{2} ) = 4 \\ 3x - 2(5) = 4 \\ 3x - 10 = 4 \\ 3x = 14 \\ \\ x = \frac{14}{3}$

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Answer 2

y = 5/3

x = 9/5

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