Question

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

Answer 1

The given equation is,     x + y = 6⇒ y = 6 − x  ...........(1)The given equation is,     x + y = 6⇒ y = 6 - x  ...........1

 https://s3mn.mnimgs.com/img/shared/content_ck_images/images/1(377).png

x 0 2 6

y 6 4 0

and 2x + 3y = 16

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

Answer 2

Step-by-step explanation:

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