The solution of the equation m/x + n/y =a , n/x + m/y = b is given by 1) x= - Maths - Pair of Linear Equations in Two Variables

Question

The solution of the equation m/x + n/y =a , n/x + m/y = b is given
by
1) x= n² + m² / am - bn , y= m² - n² / bm -
an
2) x = m² - n² / am - bn , y = n² - m² / bm -
an
3) x= m² - n² / am - bn , y = m² - n² / bm -
an
4) x= n² - m² / am - bn , y = n²- m² / bm - an

Priyanka Kedia · Accepted Answer

Dear Student,
Please find below the solution to the asked query:

The given equations are:mx+ny=a          
1nx+my=b         
2Multiply equation1 by n and equation2 by m, we get,mnx+n2y=an          
3nmx+m2y=bm         
4Subtracting equation3 and 4, we get,1yn2-m2=an-bm⇒y=n2-m2an-bm⇒y=m2-n2bm-anSubstitute value of y in equation 1, we get,mx+nan-bmn2-m2=a⇒mx=a-nan-bmn2-m2⇒mx=an2-am2-an2+bmnn2-m2⇒x=m2-n2am-bnHence x=m2-n2am-bn and y=m2-n2bm-an
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The solution of the equation m/x + n/y =a , n/x + m/y = b is given by 1) x= n² + m² / am - bn , y= m² - n² / bm - an 2) x = m² - n² / am - bn , y = n² - m² / bm - an 3) x= m² - n² / am - bn , y = m² - n² / bm - an 4) x= n² - m² / am - bn , y = n²- m² / bm - an

The solution of the equation m/x + n/y =a , n/x + m/y = b is given by
1) x= n² + m² / am - bn , y= m² - n² / bm - an
2) x = m² - n² / am - bn , y = n² - m² / bm - an
3) x= m² - n² / am - bn , y = m² - n² / bm - an
4) x= n² - m² / am - bn , y = n²- m² / bm - an