by using method elimination by equating any one coefficient 4x+2y=-3;x+5y=4
Answers
Answer:
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Step-by-step explanation:
) 3x−4y=7;5x+2y=3
3x−4y=7⇒ 3x−4y=7
2(5x+2y=3)⇒ 10x+4y=6
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13x+0=13
x=1 ⇒ 5+2y=3⇒ y=−1
∴ (x,y)=(1,−1)
(ii) 5x+7y=17;3x−2y=4
3(5x+7y=17)⇒15x+21y=51
5(3x−2y=4)⇒15x−10y=20
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31y=31⇒ y=1⇒ 3(x)−2=4⇒ x=2
∴ (x,y)=(2,1)
(iii) x−2y=−10;3x−5y=−12
3(x−2y=−10)⇒ 3x−6y=−30
3x−5y=−12
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−x=18⇒x=18
18−2y=−10⇒ y=14
∴ (x,y)=(18,14)
(iv) 4x+y=34;x+4y=16
4x+y=34⇒ 4x+y=34
4(x+4y=16)⇒ 4x+16y=64
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−15y=−30
⇒ y=2
4x+2=34
⇒ x=8
⇒ (x,y)=(8,2)
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