What is the solution of the system 5x 6y 20 9x 11 v 32So

What is the solution of the system? 5x + 6y = 20 9x + 11 v = 32

we have

5x + 6y = 20 (1)

9x + 11y = 32 (2)

we have to make the coefficient of any one variable( \"x\" or \"y\") same.

lets make coefficient of \"x\" term same in both the equations

in order to make coefficient of \"x\" same we multiply eq (1) by \"9\" and eq (2) by \"5\" .

eq (1) X 9

45x +54y =180 (3)

eq (2) X 5

45x +55y =160 (4)

now we subtract eq (3) from (4) so that we can remove the variable \"x\"

45x +54y =180

45x +55y =160

- - - we get

-y = 20

multiply both sides by \"-1\"

y = -20

now subtituite the value \"y\" = -20 in any equation above (\"1\" , \"2\" , \"3\" ,\"4\")

subtituiting y = -20 in \"1\" we get

5x + 6*(-20) = 20

5x - 120 = 20 (if a postive number is multiplied by a negative number the result is negative eg: 2 * (-2) = -6 )

5x = 140

x = 28

we write coordinates as (x,y)

so the answer is (28 , -20)