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Solutions of Linear equation in 2 variables on a graph

The linear eq...

Question

The linear equation with the solutions (-2,2), (0,0) and (2,-2) can be given as __________.

A

y-x=0

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B

-2x-y=0

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C

x+y=0

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D

2x-y=0

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Q. If each of (−2, 2), (0, 0) and (2, −2) is a solution of a linear equation in x and y, the equation is
(a) x − y = 0
(b) x + y = 0
(c) −2x + y = 0
(d) −x + 2y = 0

Each of the points (-2, 2), (0, 0), (2, -2) satisfies the linear equation

(a) x - y = 0

(b) x + y = 0

(c) - x + 2y = 0

(d) x - 2y = 0

Q. Solve each of the following system of homogeneous linear equations.
2x + 3y + 4z = 0
x + y + z = 0
2x − y + 3z = 0

Q. Solve graphically each of the following systems of linear equations. Also find the coordinates of the points where the lines meet axis of y.

(i) 2x − 5y + 4 = 0,
2x + y − 8 = 0

(ii) 3x + 2y = 12,
5x − 2y = 4

(iii) 2x + y − 11 = 0,
x − y − 1 = 0

(iv) x + 2y − 7 = 0,
2x − y − 4 = 0

(v) 3x + y − 5 = 0,
2x − y − 5 = 0

(vi) 2x − y − 5 = 0,
x − y − 3 = 0

$x = 2, y = - 1$ is a solution of the linear equation
(a) $x + 2 y = 0$
(b) $x + 2 y = 4$
(c) $2 x + y = 0$
(d) $2 x + y = 5$

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