## Draw the graphs of the linear equations 4x – 3y + 4 = 0 and 4x + 3y – 20 = 0. Find the coordinates of the vertices of the triangle formed by

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Answer:10th

Maths

Pair of Linear Equations in Two Variables

Algebraic Solution of a Pair of Linear Equations

Solve graphically the pair …

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Asked on December 20, 2019 by

Rupan Jha

Solve graphically the pair of linear equations: 4x−3y+4=0,4x+3y−20=0. Find the area of the region bounded by these lines and x-axis

MEDIUM

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ANSWER

4x−3y+4=0

⟹x=

4

−4+3y

Let, y=4, then x=

4

−4+3(4)

=2

Similarly, when y=0,x=−1

4x+3y−20=0

⟹x=

4

20−3y

Let, y=4, then x=

4

20−3(4)

=2

Similarly, when y=0,x=5

Plotting the above points on the graph, we get, the intersecting point i.e(2,4)

Area of the region bounded by these lines and x-axis =

2

1

×6units×4 units

=12 sq. units.