Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9th
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Solve graphically x2+y4 = 1, x2+y4 = 2 - Mathematics

Graph

Solve graphically

`x/2 + y/4` = 1, `x/2 + y/4` = 2

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Solution

`x/2 + y/4` = 1

multiply by 4

2x + y = 4

y = −2x + 4

x −3 −1 0 2
y 10 6 4 0

Plot the points (−3, 10), (−1, 6), (0, 4) and (2, 0) in the graph sheet

`x/2 + y/4` = 2

multiply by 4

2x + y = 8

y = −2x + 8

x −2 −1 0 2
y 12 10 8 4

Plot the points (−2, 12), (−1, 10), (0, 8) and (2, 4) in the same graph sheet.

The given two lines are parallel.

∴ They do not intersect a point.

∴ There is no solution.

Concept: Methods of Solving Simultaneous Linear Equations by Graphical Method
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APPEARS IN

Samacheer Kalvi Mathematics Class 9th Tamil Nadu State Board
Chapter 3 Algebra
Exercise 3.10 | Q 2. (iii) | Page 124
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