Question

draw the graph of the equation X + Y = 6 and 2 X + 3 Y = 16 on the same graph paper.find the coordinates of the points where the two lines intersect

Answer 1

Draw the graphs of the equations x + y = 6 and 2x + 3y = 16 on the same graph paper. Find the coordinates of the points where the two lines intersect

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M . S . Rawat answered this
The given equation is, x + y = 6⇒ y = 6 − x ...........(1)

x 0 2 6
y 6 4 0
and 2x + 3y = 16

⇒ 3y = 16 − 2x⇒ y = 16 − 2x3 ...........(2)

x 2 5 8
y 4 2 0
GRAPH:



So, from the graph we see that the two lines intersect at (2, 4).

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