Question

Solve this system algebraically. 9x 2y = 5 y - 2x 3 = 0 {(11/13, 17/13)} {(11/13, -17/13)} {(-11/13, 17/13)} {(-11/13, -17/13)}.

Answer 1

On Solving, we get the points (11/13, -17/13).

Given :-  Two equations as,

               $9x + 2y -5= 0 ...............(1)\\ \\ \\ y - 2x + 3 = 0 ..............(2)$

We will express Y in terms of X here.

In first equation we put the value of   y = 2x +3 then expression will be

                 $9x + 2(2x - 3) = 5 .................(3)$

The value of x from the equation (3) will be x= 11/13 then, the value of y will be

                 $y = 2(11/13) - 3 = -17/13$

Therefore, The solution algebraically is (11/13, -17/13).

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