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Addition and Subtraction of Algebraic Equations

The equations...

Question

The equations x + y - 2 = 0 and 3x + 3y - 6 = 0 have ___ solution(s).

A

\N

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B

1

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C

2

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D

infinite

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Solution

The correct option is D infinite

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Similar questions

Q. The equations x + y - 2 = 0 and 3x + 3y - 6 = 0 have ______ common solution(s).

Q. The equations

x + 3 y - 4 z =

λ x

x - 3 y + 5 z =

λ y

3 x + y + 0 =

λ z

have infinite solutions then

λ

Q. Which of the following pairs of linear equations has unique solution, no solution, or infinitely many solutions.
(i)

x - 3 y - 3 = 0; 3 x - 9 y - 2 = 0

2 x + y = 5; 3 x + 2 y = 8

3 x - 5 y = 20; 6 x - 10 y = 40

x - 3 y - 7 = 0; 3 x - 3 y - 15 = 0

The following pair of linear equations have one solution

3 x + 3 y = 0

2 x + \frac{2}{3} y = 2

Q. Determine the values of

a

b

, so that the following system of linear equations have infinitely many solutions:

(2 a - 1) x + 3 y - 5 = 0

3 x + (b - 1) y - 2 = 0

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