स्पष्टीकरणासह प्रश्‍नसंच - एकसामाईक समीकरण

एकसामाईक समीकरण

1) a + b = 8; a – b = 2

Explanation:

a = 10/2 = 5
a = 5 समी (1) मध्‍ये ठेवून
a + b = 8
5 + b = 8
b = 8 – 5
b = 3
उकल (5, 3)

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2) 2x – 3y = 3; 2x + 3y = 21

Explanation:

x = 24/4 = 6
x = 6 समी (1) मध्‍ये ठेवून
2x – 3y = 3
26 – 3y = 3
12 – 3y = 3
-3y = 3 – 12
-3y = -9
y = 9/3 = 3
उकल (6, 3)

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3) 5x + 4y = 37; 7x + 4y = 71

Explanation:

x = 34/2 = 17
x = 17 समी (1) मध्‍ये ठेवून
5x + 4y = 37
517 + 4y = 37
85 + 4y = 37
4y = 37 – 85
4y = -48
y = (-48)/4
y = -12 उकल (17, -12)

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4) 3x + 5y = 4; x + 5y = 2

Explanation:

x = 2/2 = 1
x = 1 समी (1) मध्‍ये ठेवून
3x + 5y = 4
3 + 5y = 4
5y = 4 – 3
5y = 1

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y = ¹⁄₅ उकल (1, ¹⁄₅ )

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5) 13a + 15b = 114; 15a + 13b = 110 तर (a+b) = ?

Explanation:

28 ने भागून
a + b = 8

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6) 8x – 7y = 11; 7x – 8y = 4 तर x - y = ?

Explanation:

15 ने भागून
x - y = 1

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7) 2p + 5q = 24; 4p + 3q = 20

Explanation: 2p + 5q = 24 –- (1)
4p + 3q = 20 -- (2)
समी (1) ला (2) ने गुणून
4p + 10q = 48 -- (3)
समी (3) व (2)

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q = ²⁸ ⁄₇ = 4 q = 4 समी (1) मध्‍ये ठेवून

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2p + 5q = 24
2p + 20 = 24
2p = 24 – 20
2p = 4
p = 2
उकल (2, 4)

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8) 4x = 15y – 24; 3x – 59 = 28 – 15y

Explanation:4x = 15y – 24
4x – 15y = -24 -- (1)
3x – 59 = 28 – 15y
3x + 15y = 28 + 59
3x + 15y = 87 -- (2)
समी (1) व (2)

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x = ⁶³ ⁄ ₇ = 9 x = 9 समी (1) मध्‍ये ठेवून

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4x – 15y = -24
36 – 15y = -24
-15y = -24 – 36
-15y = -60

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y = ⁶⁰ ⁄ ₁₅ = 4

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उकल (9, 4)

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