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CBSE Class 10 Answered

x+ay=b ax-by=c Solve for x and y
Asked by Brahmananda | 24 Apr, 2019, 11:49: AM
answered-by-expert Expert Answer

x + ay=b   .... (i)

ax - by=c  ....(ii)

Multiply equation (i) by a, we get

ax + a2y= ab   .... (iii)

Subtracting equation (ii) from equation (iii), we get

a2y + by = ab - c

begin mathsize 16px style rightwards double arrow space space straight y equals fraction numerator ab space minus space straight c over denominator straight a squared space plus space straight b end fraction end style

Put the value of y in the equation (i), we get

x = b - ay

begin mathsize 16px style rightwards double arrow space straight x space space space equals space straight b space minus straight a space open parentheses fraction numerator ab space space minus space space straight c over denominator straight a squared space plus space straight b end fraction close parentheses
space space space space space space space space space space space equals fraction numerator straight b squared space space plus space space space ac over denominator straight a squared space plus space straight b end fraction




end style

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