Question

Find the value of m if x^2m=1/x^7​

Answer 1

Answer:

Your answer is given below

This system of equation is of the form

a1x+b1y+c1=0

a2x+b2y+c2=0

where a1=2m−1,b1=3,c1=−5 

and a2=3,b2=n−1 and c2=−2

For infinitely many solutions, we must have

a2a1=b2b1=c2c1

The given system of equations will have infinite number of solutions, if

32m−1=n−13=−2−5

⇒32m−1=

Answer 2

Answer:

$This system of equation is of the form</p><p>a1x+b1y+c1=0</p><p>a2x+b2y+c2=0</p><p></p><p>where a1=2m−1,b1=3,c1=−5 </p><p></p><p>and a2=3,b2=n−1 and c2=−2</p><p></p><p>For infinitely many solutions, we must have</p><p>a2a1=b2b1=c2c1</p><p></p><p></p><p>The given system of equations will have infinite number of solutions, if</p><p></p><p>32m−1=n−13=−2−5</p><p></p><p>⇒32m−1=n−13=25</p><p></p><p>⇒32m−1=25 and n−13=25</p><p></p><p>⇒4m−2=15 and 6=5n−5</p><p></p><p>⇒4m=17 and 5n=11</p><p></p><p>⇒m=417 and n=511</p><p></p><p>Hence, the given system of equations will have infinite number of solutions, if m=417 and n=511.</p><p></p><p>$

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