Question

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)?

Answer 1

Solution is given by (-2,-1)

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)