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Find the x and y-intercepts of the following line: 3x2+2y3 = 1 - Mathematics and Statistics

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Question

Find the x and y-intercepts of the following line: `(3x)/2 + (2y)/3` = 1

Sum
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Solution

Given equation of the line is `(3x)/2 + (2y)/3` = 1

∴ `x/((2/3)) + y/((3/2))` = 1

This is of the form `x/"a" + y/"b"` = 1,

where x-intercept = a, y-intercept = b

∴ x-intercept = `2/3` and y-intercept = `3/2`.

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Equations of Lines in Different Forms
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Chapter 5: Locus and Straight Line - Exercise 5.3 [Page 73]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] Standard 11 Maharashtra State Board
Chapter 5 Locus and Straight Line
Exercise 5.3 | Q 7. (b) | Page 73

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