Question

What is the solution of the system?

Answer 1

It's the second answer

Answer 2

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.