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Question

Solve the following simultaneous equations using Graphical method :
(iii) 4 x = y - 5 ; y = 2x + 1

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Solution

Table for the equation 4 x = y - 5:
x 0 -1.25
y 5 0

Table for the equation y = 2x + 1:
x 0 -0.5
y 1 0

The graphs of these two equations are drawn as follows:



The graphs of the equation 4x = y - 5 and y = 2x + 1 intersect each other at (-2, -3).
∴ x = -2 and y = -3


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