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Solve the following pair of linear equations by the graphical method: 2x + y = 9 and x – 2y = 2 - Mathematics

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प्रश्न

Solve the following pair of linear equations by the graphical method:

2x + y = 9 and x – 2y = 2

आलेख
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उत्तर

Given linear equations are

2x + y = 9   ...(1)

x – 2y = 2   ...(2)

2x + y = 9

Put x = 0

2(0) + y = 9

y = 9

Put x = `9/2`

`2(9/2) + y = 9`

9 + y = 9

y = 0

x 0 `9/2`
y 9 0

x – 2y = 2

Put x = 0

0 – 2y = 2

y = `-2/2`

y = 1

Put x = 2

2 – 2y = 2

y = 0

x 0 2
y –1 0


∴ Intersection point P(4, 1)

Hence, x = 4 and y = 1.

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