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Solve 1/2(2x + 3y) + 12/7(3x-2y) = 1/27/2x+3y + 12/3x-2y) = 2pls sove thisPLSSSSSSSSSSSSSSS |
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Answer» N: 1/2(2x+3y)+12/7(3x–2y)=1/2 7/(2x+3y)+4/(3x–2y)=2 Let 1/(2x+3y)= u & 1/(3x-2y)= v Then the GIVEN system of equations becomes u/2 + 12v/7= 1/2 (7u + 12×2v) / 14= 1/2 (7u + 24v) =( ½) × 14 7u +24v = 7……………..(1) 7u + 4v = 2 ………………(2) Subtracting equation 2 from eq 1. 7u +24v = 7 7u + 4v = 2 [elimination method] (-) (-) (-) -------------------- 20 v = 5 v = 5/20= ¼ Putting v = ¼ in equation 1. 7u +24v = 7 7u + 24 (¼) = 7 7u + 6= 7 7u = 7-6 7u = 1 u = 1/7 Now, u = 1/7 = 1/(2x+3y) (2x+3y) = 7……………(3) v = ¼ = 1/(3x-2y) (3x-2y) = 4……………..(4) Multiply equation 3 by 2 an equation 4 by 3, 4x + 6y = 14……………(5) 9x - 6y =12……………..(6) ADDING Equations 5 and 6, 4x + 6y = 14 9x - 6y =12 ---------------- 13x = 26 x = 26/13 x = 2 Putting x= 2 in question 5, 4x + 6y = 14 4(2) +6y = 14 8 +6y = 14 6y = 14 -8 6y = 6 y = 6/6= 1 y = 1 Hence, x= 2,y= 1 is the solution of the given system of equations. HOPE THIS WILL HELP YOU... |
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