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3x=7y-21, If (0, a) and (b, 0) are the solutions of the given linear equation. Find ‘a’ and ‘b’. |
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Answer» HEY there !!! ___________________________ ===>>>>> Solution LET first write the given equation in its general form. ax + by = c .......( linear equation) Given equation, 3x = 7y - 21 3x - 7y = -21 ..........(general form ) Now, it is given that ... (0,a) and (b,0) are the solutions of the given equation. Case (I) ----------- Compare (0,a) with (x,y) HENCE the value we obtained are , x = 0. and y = a Now,put this values in the given equation we get, 3x - 7y = -21 3*0 - 7*a = -21 0 - 7a = -21 a = -21/-7 a = 3 ∴[ a = 3 ] Case (II) ----------- Now, compare (b,0) with (x,y) hence the value we obtained are , x = b and y = 0 Now, put this value in the given equation we get, 3x - 7y = -21 3*b - 7*0 = -21 3b - 0 = -21 b = -21/3 b = -7 ∴ [ b = -7 ] ___________________________ Let CHECK whether our answer is correct or not . we know that, (0,a) and (b, 0) are the solution of the given equation , (0,a) = (x,y) = (0,3) (b,0) = (x,y) = (-7, 0) 1.) Put x = 0 and y = 3 in the given equation 3x - 7y = -21 3*0 - 7*3 = -21 0 -21 = -21 -21 = -21 L.H.S = R.H.S 2.) Put x = -7 and y = 0 in the given equation , 3x - 7y = -21 3*(-7) - 7*0 = -21 -21 - 0 = -21 -21 = -21 L.H.S = R.H.S Proved ------------- ✴✴✴✴✴✴✴✴✴R.N.S✴✴✴✴✴✴ |
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