Draw the graph representing the equation 2x=y 2 and 4x 3y=24 on the same graph paper.find the area of the triangle formed by these lines and the x-axis
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Area of triangle = 10 sq units , Graph is attached
Step-by-step explanation:
2x = y + 2
4x + 3y = 24
x axis => y = 0
2x = y + 2 & y = 0
=> ( 1 , 0)
4x + 3y = 24 & y = 0
=> (6 , 0)
2x = y + 2 & 4x + 3y = 24
=> (3 , 4)
(1 , 0) , (6 , 0) , ( 3 ,4 )
Area of Triangle = (1/2) | 1 (0 - 4) + 6(4 - 0) + 3(0 - 0) |
= (1/2) | -4 + 24 + 0|
= 20/2
= 10 sq units
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