Question

The graph of the linear equation x+2y=7 passes the point 0,7 state whether the statements are true or false.justify your answer

Answer 1

this answer is false.
placing (0,7) in the place of x + 2y = 7
we do not get the equal equation !

Answer 2

Given : linear equation x+2y=7 passes the point 0,7

To Find :   whether the statement  is  true or false

Solution:

x+2y = 7  

point 0 , 7 lies on x+2y = 7  

iff  0  + 2(7) = 7

iff 0 + 14 = 7

iff  14 = 7

but 14 ≠ 7

Hence (0,7 ) does not lie on line  x+2y = 7  

x      y

-5    6

-3    5

-1     4

0     3.5

1      3

3      2

5      1

7      0

9      -1

11      -3

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