Which ordered pair represents the solution to the system of equations?{2x−7y=0x−6y=-5{2𝑥-7𝑦=0𝑥-6𝑦=-5 (1, 1) (2, 7) (7, 2) (-11, -1)

The solution to the system of equations can be found by either substitution or elimination method. Let's use the substitution method:

The system of equations is:

2x - 7y = 0 x - 6y = -5

From the first equation, we can express x in terms of y:

x = 7y/2

Substitute x = 7y/2 into the second equation:

7y/2 - 6y = -5 Multiply all terms by 2 to get rid of the fraction:

7y - 12y = -10 Combine like terms:

-5y = -10 Divide by -5:

y = 2

Substitute y = 2 into the first equation:

2x - 7*2 = 0 2x - 14 = 0 Add 14 to both sides:

2x = 14 Divide by 2:

x = 7

So, the solution to the system of equations is (7, 2).