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Solve the following pair of linear equations.. (1) ax+by = cbx+ay = 1+c |
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Answer» Sol:Given that ax + by = c ---------(1)bx + ay =1+c ------------(2)Multiply equation (1) by a and equation (2) by b and substractx(a2 - b2) = ac - b - bcx = ( c( a - b) - b) / (a2 - b2).Multiply equation (1) by b and equation (2) by a and substracty(b2 - a2) = bc - ac - ay = ( c( b - a) - a) / (b2 - a2).∴ x = ( c( a - b) - b) / (a2 - b2), y = ( c( b - a) - a) / (b2 - a2). |
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