The best solution for linear equations. How i solve this important question of optional exercise of 3.7 of class 10th math . So please help me for solving this problem Solve the following pair of linear equations: (ii) ax + by = c bx + ay = 1 + c

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# Solve the following pair of linear equations: (ii) ax + by = c bx + ay = 1 + c Q.7(2)

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Multiplying a to equation (i) and b to equation (ii), we obtain

a

^{2}x + aby = ac ………………… (iii)b

^{2}x + aby = b + bc…………… (iv)Subtracting equation (iv) from equation (iii),

(a

^{2}– b^{2}) x = ac − bc– bx = (ac − bc– b)/ (a

^{2}– b^{2})x = c(a-b) –b / (a

^{2}+b^{2})From equation (i), we obtain

ax +by = c

a{c(a−b)−b)/ (a

^{2}– b^{2})} +by=cac(a−b)−ab/ (a

^{2}– b^{2})+by=cby=c–ac(a−b)−ab/(a

^{2}– b^{2})by=abc – b

^{2 }c+ab/a^{2}-b^{2}^{y = c(a-b)+a/}a^{2}-b^{2}