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Solve the following simultaneous equations graphically. x + y = 0 ; 2x – y = 9 - Algebra

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Question

Solve the following simultaneous equations graphically.

x + y = 0 ; 2x – y = 9

Graph

Solution

x + y = 0 

x 1 2 3 5
y − 1 − 2 − 3 − 5
(x, y) (1, − 1) (2, − 2) (3, − 3) (5, − 5)

2x – y = 9

x 0 2 3 4
y − 9 − 5 − 3 − 1
(x, y) (0, − 9) (2, − 5) (3, − 3) (4, − 1)

Point of intersection of the two lines is (3, −3).
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Chapter 1: Linear Equations in Two Variables - Practice Set 1.2 [Page 8]

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Balbharati Algebra (Mathematics 1) [English] 10 Standard SSC Maharashtra State Board
Chapter 1 Linear Equations in Two Variables
Practice Set 1.2 | Q 2.3 | Page 8
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