Question

The point of intersection of the lines 2x - 5y = 6 and x + y = 3 is:
a) (0,3) by (3,0)
c) (3,3)
d) (0,0)
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Answer 1

Answer:

Dear student here is your answer-

Answer 2

The correct answer is (3, 0).

Given: 2x - 5y = 6 and x + y = 3.

To Find: The point of intersection of lines.

Solution:

From line x + y = 3.

y = 3 - x  (equation 3)

Put this value of y in first equation.

2x - 5(3 - x) = 6

2x -15 + 5x = 6

7x = 21

x = 3

Now, put this value of x in equation 3.

y = x - 3

y = 3 - 3

y = 0

So, the intersection point of lines is (3, 0).

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