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If the system of equation 2x …

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If the system of equation 2x + 3y = 7 and 29x + (a + b) y = 28 has infinitely many solutions, then (a) a = 2b (b) b = 2a (c) a + 2b = 0 (d) 2a + b = 0 Give full explanation.

Posted by Mahak Sadhya 5 years, 1 month ago

CBSE > Class 10 > Mathematics

2 answers

King Adithya H M... 5 years ago

b=2a

0Thank You

Yogita Ingle 5 years, 1 month ago

2x + 3y = 7
2ax + (a + b) y = 28
If two equations has infinite solutions, then,
a1 / a2 = b1 / b2 = c1 /c2
2 / 2a = 3 / a+b = -7 / -28
1/a = 3/a+b = 1/4
Now,
1/a = 1/4
a = 4
And
3/a+b = 1/4
12 = 4 + b
12 - 4 = b
b = 8
Thus,
a = 4
b = 8

So, b = 2a

2Thank You

ANSWER

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Posted by Kanika . 4 days, 10 hours ago

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CBSE > Class 10 > Mathematics

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Don't post personal information, mobile numbers and other details.
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Posted by Hari Anand 5 months, 1 week ago

CBSE > Class 10 > Mathematics