Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9th

# Solve graphically x2+y4 = 1, x2+y4 = 2 - Mathematics

Graph

Solve graphically

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

#### 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
Is there an error in this question or solution?

#### APPEARS IN

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