Download Linear Equations In Two Variables

Linear Equations In Two Variables ( IX )
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An equation of the form ax + by + c = 0, where a, b, c are real numbers, a  0, b  0
and x, y are variables, is called a linear equation in two variables.
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Examples : 2x + 3y + 6 = 0, 5x – 4y – 10 = 0,
x  7y  , and 3 x  y   0
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are linear equations In two variables.
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Write the following equations in its standard form and from the equation write the
values of a, b and c.
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21x = 3y – 10 (ii) y – 8 = 4x, (iii) 17x + 32y = 45, (iv)
x  98  .
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Express y in terms of x, given that 2x + y – 15 = 0. Check whether the point (8,-1) lies
on the line represented by the above equation.
Express x in terms of y, from the equation y – 2x + 6 = 0.
Draw the graph of the following equations:
x = 3, y = - 4, 2x – 5 = 0, 5y = − 20
Write the equation of ( i ) X – axis ( ii ) Y- axis
Draw the graph of the equation 2y + 3 = 9.
Draw the graphs of the following equations :
y = x + 2, y + x = 3, y = 2x, x + y = 0, x + 2y = 4, 3x – 4y = 8, 3x + y – 12 = 0.
Draw the graph of the equations 3x – 2y = 4 and x + y – 3 = 0 on the same plane
and write the coordinates of the point of intersection.
Solve the following system of linear equations graphically:
3x + y – 12 = 0 and x – 3y + 6 = 0
Shade the region bounded by these lines and the x- axix. Also find the ratio of areas
of triangles formed by given lines with x – axix and the y-axix.
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