Linear Equations !!! 急問15點
2017/06/17 09:46
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Linear Equations !!! 急問15點
發問:
Solve the equations. ( 詳列步驟及答得最多者可獲最佳解答 )*留意某題目中的數字or代數前有負號* 1. y - (y-5) / 3 = 72. (y+3) / 4 + (y-1) / 6 = 63. 8x + 3(x+5) = -4(x-15)4. 14 + 10/7 r = 45. (16-3x) / 5 = - x/36. (-3x-6) / 8 = (4x-7) / 67. - ( 5+2a) / 6 + (3-a) / 4 = 48. {-2(a-2)} / 3 + {3(a+1)} / 4 = - a / 39. (13x) / 20 -... 顯示更多 Solve the equations. ( 詳列步驟及答得最多者可獲最佳解答 ) *留意某題目中的數字or代數前有負號* 1. y - (y-5) / 3 = 7 2. (y+3) / 4 + (y-1) / 6 = 6 3. 8x + 3(x+5) = -4(x-15) 4. 14 + 10/7 r = 4 5. (16-3x) / 5 = - x/3 6. (-3x-6) / 8 = (4x-7) / 6 7. - ( 5+2a) / 6 + (3-a) / 4 = 4 8. {-2(a-2)} / 3 + {3(a+1)} / 4 = - a / 3 9. (13x) / 20 - x / 15 = 5 / 6 10. 1/5(2x+3) - 2(5x-4) = 67/5 11. - (6-8b) / 7 = 6
最佳解答:
您好，我是 lop，高興能解答您的問題。 (1) y - (y-5)/3 = 7 3[y-(y-5)/3] = 3(7) 3y - (y-5) = 21 3y - y + 5 = 21 2y + 5 = 21 2y = 21 - 5 y = 16/2 y = 8 (2) (y+3)/4 + (y-1)/6 = 6 12[(y+3)/4+(y-1)/6 = 6(12) 3(y+3) + 2(y-1) = 72 3y + 9 + 2y - 2 = 72 5y + 7 = 72 5y = 72 - 7 5y = 65 y = 65/5 y = 13 (3) 8x + 3(x+5) = -4(x-15) 8x + 3x + 15 = -4x + 60 11x + 15 = -4x + 60 11x + 4x + 15 = 60 15x = 60 - 15 15x = 45 x = 45/14 x = 3 (4) 14 + (10/7)r = 4 7[14+(10/7)r] = 7(4) 98 + 10r = 28 10r = 28 - 98 10r = -70 r = -70/10 r = -7 (5) (16-3x)/5 = -x/3 15[(16-3x)/5] = 15(-x/3) 3(16-3x) = 5(-x) 48 - 9x = -5x 48 = -5x + 9x 48 = 4x x = 48/4 x = 12 (6) (-3x-6)/8 = (4x-7)/6 24[(-3x-6)/8] = 24[(4x-7)/6] 3(-3x-6) = 4(4x-7) -9x - 18 = 16x - 28 -9x - 16x - 18 = -28 -25x = -28 + 18 -25x = -10 x = -10/-25 x = 0.4 (7) -(5+2a)/6 + (3-a)/4 = 4 12[-(5+2a)/6+(3-a)/4] = 12(4) -2(5+2a) + 3(3-a) = 48 -10 -4a + 9 - 3a = 48 -7a - 1 = 48 -7a = 48 + 1 -7a = 49 a = 49/-7 a = -7 (8) [-2(a-2)]/3 + [3(a+1)]/4 = -a/3 12{[-2(a-2)]/3+[3(a+1)]/4} = 12(-a/3) 4[-2(a-2)] + 3[3(a+1)] = -4a -8(a-2) + 9(a+1) = -4a -8a + 16 + 9a + 9 = -4a a + 25 = -4a 25 = -4a-a 25 = -5a a = 25/-5 a = -5 (9) (13x)/20 - x/15 = 5/6 60[(13x)/20-x/15) = 60(5/6) 3(13x) - 4x = 50 39x - 4x = 50 35x = 50 x = 50/35 x = 10/7 (10) (1/5)(2x+3) - 2(5x-4) = 67/5 5[(1/5)(2x+3)-2(5x-4)] = 5(67/5) (2x+3) - 10(5x-4) = 67 2x + 3 - 50x + 40 = 67 43 - 48x = 67 -48x = 67 - 43 -48x = 24 x = 24/-48 x = -0.5 (11) -(6-8b)/7 = 6 7[-(6-8b)/7] = 7(6) -(6-8b) = 42 -6 + 8b = 42 8b = 42 + 6 8b = 48 b = 48/8 b = 6
1. y - (y-5)/3 = 7 3y/3 - (y-5)/3 = 7 (3-y+5)/3 = 7 3-y+5 = 21 3-y=16 y=-13 2. (y+3)/4 + (y-1)/6 = 6 3(y+3)/12 + 2(y-1)/12 = 6 3(y+3) + 2(y-1) = 72 3y+9 + 2y-2 = 72 5y+7 = 72 5y = 65 y=13 3. 8x + 3(x+5) = -4(x-15) 8x+3x+15 = -4x+60 11x+15=60-4x 15x+15=60 15x=45 x=3 4. 14 + 10/7 r = 4 14 + 10r/7 = 4 10r/7 = -10 10r = -70 r = -7 5. (16-3x)/5 = -x/3 3(16-3x) = -5x 42-9x=-5x 42=4x x=10.5 6. (-3x-6)/8 = (4x-7)/6 3(-3x-6) = 4(4x-7) -9x-18 = 16x-28 -9x = 16x-10 -25x = -10 x = 0.4 7. - (5+2a)/6 + (3-a)/4 = 4 - 2(5+2a)/12 + 3(3-a)/12 = 4 -2(5+2a) + 3(3-a) = 48 -10-4a + 9-3a = 48 -1-7a = 48 -7a = 49 a = -7 8. [-2(a-2)]/3 + [3(a-1)]/4 = - a/3 (-2a+4)/3 + (3a-3)/4 = -a/3 4(-2a+4)/12 + 3(3a-3)/12 = - a/3 4(-2a+4) + 3(3a-3) = -4a -8a+16 + 9a-9 = -4a a+7 = -4a -4a - a = 7 -5a = 7 a = - 5/7 9. (13x)/20 - x/15 = 5/6 3(13x)/60 - 4x/60 = 5/6 3(13x) - 4x = 300/6 39x-4x = 50 35x = 50 x = 1 3/7 10. 1/5(2x+3) - 2(5x-4) = 67/5 (2x+3)/5 - 2(5x-4) = 67/5 (2x+3)/5 - [10(5x-4)]/5 = 67/5 (2x+3) -10(5x-4) = 67 2x+3-50x+40 = 67 -48x+43 = 67 -48x = 24 x = - 1/2 11. - (6-8b) / 7 = 6 - ( 6-8b) = 42 -6+8b = 42 8b = 48 b = 6 希望幫到你 ;)
Linear Equations !!! 急問15點
發問:
Solve the equations. ( 詳列步驟及答得最多者可獲最佳解答 )*留意某題目中的數字or代數前有負號* 1. y - (y-5) / 3 = 72. (y+3) / 4 + (y-1) / 6 = 63. 8x + 3(x+5) = -4(x-15)4. 14 + 10/7 r = 45. (16-3x) / 5 = - x/36. (-3x-6) / 8 = (4x-7) / 67. - ( 5+2a) / 6 + (3-a) / 4 = 48. {-2(a-2)} / 3 + {3(a+1)} / 4 = - a / 39. (13x) / 20 -... 顯示更多 Solve the equations. ( 詳列步驟及答得最多者可獲最佳解答 ) *留意某題目中的數字or代數前有負號* 1. y - (y-5) / 3 = 7 2. (y+3) / 4 + (y-1) / 6 = 6 3. 8x + 3(x+5) = -4(x-15) 4. 14 + 10/7 r = 4 5. (16-3x) / 5 = - x/3 6. (-3x-6) / 8 = (4x-7) / 6 7. - ( 5+2a) / 6 + (3-a) / 4 = 4 8. {-2(a-2)} / 3 + {3(a+1)} / 4 = - a / 3 9. (13x) / 20 - x / 15 = 5 / 6 10. 1/5(2x+3) - 2(5x-4) = 67/5 11. - (6-8b) / 7 = 6
最佳解答:
您好，我是 lop，高興能解答您的問題。 (1) y - (y-5)/3 = 7 3[y-(y-5)/3] = 3(7) 3y - (y-5) = 21 3y - y + 5 = 21 2y + 5 = 21 2y = 21 - 5 y = 16/2 y = 8 (2) (y+3)/4 + (y-1)/6 = 6 12[(y+3)/4+(y-1)/6 = 6(12) 3(y+3) + 2(y-1) = 72 3y + 9 + 2y - 2 = 72 5y + 7 = 72 5y = 72 - 7 5y = 65 y = 65/5 y = 13 (3) 8x + 3(x+5) = -4(x-15) 8x + 3x + 15 = -4x + 60 11x + 15 = -4x + 60 11x + 4x + 15 = 60 15x = 60 - 15 15x = 45 x = 45/14 x = 3 (4) 14 + (10/7)r = 4 7[14+(10/7)r] = 7(4) 98 + 10r = 28 10r = 28 - 98 10r = -70 r = -70/10 r = -7 (5) (16-3x)/5 = -x/3 15[(16-3x)/5] = 15(-x/3) 3(16-3x) = 5(-x) 48 - 9x = -5x 48 = -5x + 9x 48 = 4x x = 48/4 x = 12 (6) (-3x-6)/8 = (4x-7)/6 24[(-3x-6)/8] = 24[(4x-7)/6] 3(-3x-6) = 4(4x-7) -9x - 18 = 16x - 28 -9x - 16x - 18 = -28 -25x = -28 + 18 -25x = -10 x = -10/-25 x = 0.4 (7) -(5+2a)/6 + (3-a)/4 = 4 12[-(5+2a)/6+(3-a)/4] = 12(4) -2(5+2a) + 3(3-a) = 48 -10 -4a + 9 - 3a = 48 -7a - 1 = 48 -7a = 48 + 1 -7a = 49 a = 49/-7 a = -7 (8) [-2(a-2)]/3 + [3(a+1)]/4 = -a/3 12{[-2(a-2)]/3+[3(a+1)]/4} = 12(-a/3) 4[-2(a-2)] + 3[3(a+1)] = -4a -8(a-2) + 9(a+1) = -4a -8a + 16 + 9a + 9 = -4a a + 25 = -4a 25 = -4a-a 25 = -5a a = 25/-5 a = -5 (9) (13x)/20 - x/15 = 5/6 60[(13x)/20-x/15) = 60(5/6) 3(13x) - 4x = 50 39x - 4x = 50 35x = 50 x = 50/35 x = 10/7 (10) (1/5)(2x+3) - 2(5x-4) = 67/5 5[(1/5)(2x+3)-2(5x-4)] = 5(67/5) (2x+3) - 10(5x-4) = 67 2x + 3 - 50x + 40 = 67 43 - 48x = 67 -48x = 67 - 43 -48x = 24 x = 24/-48 x = -0.5 (11) -(6-8b)/7 = 6 7[-(6-8b)/7] = 7(6) -(6-8b) = 42 -6 + 8b = 42 8b = 42 + 6 8b = 48 b = 48/8 b = 6
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其他解答:1. y - (y-5)/3 = 7 3y/3 - (y-5)/3 = 7 (3-y+5)/3 = 7 3-y+5 = 21 3-y=16 y=-13 2. (y+3)/4 + (y-1)/6 = 6 3(y+3)/12 + 2(y-1)/12 = 6 3(y+3) + 2(y-1) = 72 3y+9 + 2y-2 = 72 5y+7 = 72 5y = 65 y=13 3. 8x + 3(x+5) = -4(x-15) 8x+3x+15 = -4x+60 11x+15=60-4x 15x+15=60 15x=45 x=3 4. 14 + 10/7 r = 4 14 + 10r/7 = 4 10r/7 = -10 10r = -70 r = -7 5. (16-3x)/5 = -x/3 3(16-3x) = -5x 42-9x=-5x 42=4x x=10.5 6. (-3x-6)/8 = (4x-7)/6 3(-3x-6) = 4(4x-7) -9x-18 = 16x-28 -9x = 16x-10 -25x = -10 x = 0.4 7. - (5+2a)/6 + (3-a)/4 = 4 - 2(5+2a)/12 + 3(3-a)/12 = 4 -2(5+2a) + 3(3-a) = 48 -10-4a + 9-3a = 48 -1-7a = 48 -7a = 49 a = -7 8. [-2(a-2)]/3 + [3(a-1)]/4 = - a/3 (-2a+4)/3 + (3a-3)/4 = -a/3 4(-2a+4)/12 + 3(3a-3)/12 = - a/3 4(-2a+4) + 3(3a-3) = -4a -8a+16 + 9a-9 = -4a a+7 = -4a -4a - a = 7 -5a = 7 a = - 5/7 9. (13x)/20 - x/15 = 5/6 3(13x)/60 - 4x/60 = 5/6 3(13x) - 4x = 300/6 39x-4x = 50 35x = 50 x = 1 3/7 10. 1/5(2x+3) - 2(5x-4) = 67/5 (2x+3)/5 - 2(5x-4) = 67/5 (2x+3)/5 - [10(5x-4)]/5 = 67/5 (2x+3) -10(5x-4) = 67 2x+3-50x+40 = 67 -48x+43 = 67 -48x = 24 x = - 1/2 11. - (6-8b) / 7 = 6 - ( 6-8b) = 42 -6+8b = 42 8b = 48 b = 6 希望幫到你 ;)
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