Решите систему уравнений 3х+2у=8 2х+6у=10

2y = 8 - 3x

y = (8 - 3x) / 2

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2x + 6* (8 - 3x) / 2 = 10

2x + 24 - 9x = 10

- 7x = - 14

x = 2

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y = (8 - 3x) / 2 = (8 - 6)\2 = 2\2 = 1

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ответ: x = 2   y = 1

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

S=72 см²   p=36 см  пусть большая сторона - х, а меньшая сторона -у, то есть x> y     ⇒ s=x*y=72   p=2x+2y 2x+2y=36   |÷2     x+y=18       y=18-x   xy=72                               x(18-x)=72     x²-18x+72=0   d=36   x₁=12   y₁=18-12   y₁=6 x₂=6     y₂=18-6       y₂=12 так как мы условились,что x> y   ⇒ большая сторона 12 см, а меньшая сторона 6 см.

Постав лутшу відповідь simplifying x = 3x + -1(-9x + -1(7x + -15) + 3) + -9 reorder the terms: x = 3x + -1(-9x + -1(-15 + 7x) + 3) + -9 x = 3x + -1(-9x + (-15 * -1 + 7x * -1) + 3) + -9 x = 3x + -1(-9x + (15 + -7x) + 3) + -9 reorder the terms: x = 3x + -1(15 + 3 + -9x + -7x) + -9 combine like terms: 15 + 3 = 18 x = 3x + -1(18 + -9x + -7x) + -9 combine like terms: -9x + -7x = -16x x = 3x + -1(18 + -16x) + -9 x = 3x + (18 * -1 + -16x * -1) + -9 x = 3x + (-18 + 16x) + -9 reorder the terms: x = -18 + -9 + 3x + 16x combine like terms: -18 + -9 = -27 x = -27 + 3x + 16x combine like terms: 3x + 16x = 19x x = -27 + 19x solving x = -27 + 19x solving for variable 'x'. move all terms containing x to the left, all other terms to the right. add '-19x' to each side of the equation. x + -19x = -27 + 19x + -19x combine like terms: x + -19x = -18x -18x = -27 + 19x + -19x combine like terms: 19x + -19x = 0 -18x = -27 + 0 -18x = -27 divide each side by '-18'. x = 1.5 simplifying x = 1.5