The solution to the system of equation below is (−2, −1). 2x − 3y = −1 11x − 9y = −13 when the first equation is multiplied by −3, the sum of the two equations is equivalent to 5x = −10. which system of equations will also have a solution of (−2, −1)?

Solution is given by (-2,-1)

Step-by-step explanation:

2x-3y = -1

11x-9y = -13

Multiplying equation 1 by -3  and adding it to equation 2 ,we get

-6x+9y = 3

11x -9y = -13

5x  =   -10

gives x = -2

plugging this value in equation (1) ,we get

2(-2) -3y = -1

-4 -3y =-1

 -3y =-1+4

 -3y =3

    y = -1

solution is (-2,-1)

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)