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