Question

X upon 2 minus y upon 9 is equal to 6 and X upon 7 plus Y upon 3 is equal to 5​

Answer 1

Answer:

x=14

Step-by-step explanation:

x/2-y/9=6

x/7+y/3=5

equ.1+2*1/3

x/2+x/21=6+5/3

21x+2x/42=18+5/3

23x/14=23

x=14

Answer 2

The required solutions are:

x=14

y=9

Step-by-step explanation:

$\frac{x}{2}-\frac{y}{9}=6\\\\\Rightarrow \frac{9x-2y}{18}=6\\ \\\Rightarrow 9x-2y=108-----(i)$

$\frac{x}{7}+\frac{y}{3}=5\\\\\Rightarrow \frac{3x+7y}{21}=5\\ \\\Rightarrow 3x+7y=105-----(ii)$

Now we will perform (i)-3×(ii)

$9x-2y-3(3x+7y)=108-(3\times 105)\\\\\Rightarrow 9x-2y-9x-21y=108-315\\\\\Rightarrow-23y=-207\\\\\Rightarrow y = \frac{-207}{-23} \\\\\Rightarrow y=9$

Now substitute the value of y in equation (i) and solve for x

$9x-2y=108\\\\\Rightarrow 9x-2\times 9=108\\\\\Rightarrow 9x-18=108\\\\\Rightarrow 9x=108+18\\\\\Rightarrow 9x=126\\\\\Rightarrow x=14$

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Solve x+y=8,x-y =12

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