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© h.hofstede (h.hofstede@hogeland.nl) |
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| 1. | a. |
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| xy = 13x + 6 xy - 13x = 6 x(y - 13) = 6 x = 6/(y - 13) |
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| b. |
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| y(5x
- 1) = 8 + 3x 5xy - y = 8 + 3x 5xy - 3x = 8 + y x(5y - 3) = 8 + y x = (8 + y)/(5y - 3) |
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| c. |
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| y(2x
- 3) = 4x + 12(2x
- 3) 2xy - 3y = 4x + 24x - 36 2xy - 28x = 3y - 36 x(2y - 28) = 3y - 36 x = (3y - 36)/(2y - 28) |
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| d. |
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| y(10
- 2x) = 12(10
- 2x) - 8 10y - 2xy = 120 - 24x - 8 24x - 2xy = 112 - 10y x(24 - 2y) = 112 - 10y x = (24 - 10y)/(112 - 2y) x = (12 - 5y)/(56 - y) |
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| e. |
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| y(5
- 3x) = 2x + 4 5y - 3yx = 2x + 4 -2x - 3yx = 4 - 5y x(2 + 3y) = 5y - 4 x = (5y - 4)/(3y + 2) |
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| f. |
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| 2xy = 5 + 8x
- 22 2xy - 8x = -17 x(2y - 8) = -17 x = -17/(2y - 8) |
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| 2. | a. | 50 = (22p +
1500)/(4p + 6) 50(4p + 6) = 22p + 1500 200p + 300 = 22p + 1500 178p = 1200 p = 6,74 |
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| b. | q = (22p
+ 1500)/(4p + 6) q(4p + 6) = 22p + 1500 4pq + 6q = 22p + 1500 4pq - 22p = 1500 - 6q p(4q - 22) = 1500 - 6q p = (1500 - 6q)/(4q - 22) q= 50 geeft p = (1500 - 6 × 50)/(4 × 50 - 22) = 1200/178 = 6,74 |
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