Question

without drawing graph find the point of the interaction of the line 2x+5y=13 and 4x-9y=7​

Answer 1

Answer:

(1,4)

Explanation:

To find the point of intersection, we need to find the solution of the pair of linear equations

2x + 5y = 13..............................................(1)

4x - 9y = 7.................................................(2)

multiplying equation (1) by 2 on on both sides,

2 ( 2x + 5y ) = 2*13

4x + 10y = 26............................................(3)

Subtracting equation (3)-(2)

4x+10y-(4x-9y) = 26-7

19y = 19

Thus, y = 1............................................................(A)

from (1),

2x + 5(1) = 13

2x = 8

Thus x = 4................................................................(B)

From A and B , point is (1,4)

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