Answer:
The correct option is 1.
Step-by-step explanation:
The system of equations is
[tex]5x+6y=20[/tex] ....(1)
[tex]9x+11y=32[/tex] ....(2)
Multiply equation (1) by 11.
[tex]55x+66y=220[/tex] ....(3)
Multiply equation (2) by 6.
[tex]54x+66y=192[/tex] ....(4)
Subtract equation (4) from equation (3).
[tex]55x+66y-54x-66y=220-192[/tex]
[tex]x=28[/tex]
Substitute x=28 in equation (1).
[tex]5(28)+6y=20[/tex]
[tex]140+6y=20[/tex]
[tex]6y=-120[/tex]
[tex]y=-20[/tex]
Therefore the solution of the given system of equations is (28,-20). Option 1 is correct.
