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)?

5x = −10
11x − 9y = −13

2x + 9y = −1
11x − 9y = −13

−6x + 9y = −1
11x − 9y = −13

−6x + 3y = −1
5x = −10

The correct option is 1.

Step-by-step explanation:

If a system of equation have solution (a,b), then the equations of system must be satisfied by the point (a,b).

It is given that the system of have solution (-2,-1), so the equations of system  must be satisfied by the point (-2,-1).

The system of equation in option 1 is

Put (-2,-1) in the above equations.

Since left hand side is equal to right hand side, therefore the point (-2,-1) satisfy the equations and (-2,-1) is the solution of the given system.

Similarly check the other system of equations, whether the point (-2,-1) stratify the equations or not.

In option 2,

Since left hand side is not equal to right hand side, therefore the point (-2,-1)  is not the solution of this system of equation.

In option 3,

Since left hand side is not equal to right hand side, therefore the point (-2,-1)  is not the solution of this system of equation.

In option 4,

Since left hand side is not equal to right hand side, therefore the point (-2,-1)  is not the solution of this system of equation.

Only option 1 is correct.

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