the solution to the system of equation below is (-2, -1).\n2x - 3y = -1\n11x - 9y = -13\nwhen the first…

the solution to the system of equation below is (-2, -1).\n2x - 3y = -1\n11x - 9y = -13\nwhen the first equation is multiplied by -3, the sum of the two equations is equivalent to 5x = -10.\nwhich system of equations will also have a solution of (-2, -1)?\n5x = -10\n11x - 9y = -13\n2x + 9y = -1\n11x - 9y = -13\n-6x + 9y = -1\n11x - 9y = -13

the solution to the system of equation below is (-2, -1).\n2x - 3y = -1\n11x - 9y = -13\nwhen the first equation is multiplied by -3, the sum of the two equations is equivalent to 5x = -10.\nwhich system of equations will also have a solution of (-2, -1)?\n5x = -10\n11x - 9y = -13\n2x + 9y = -1\n11x - 9y = -13\n-6x + 9y = -1\n11x - 9y = -13

Answer

Explanation:

Step1: Comprobar la primera opción

Sustituir (x = - 2) y (y=-1) en (5x=-10) y (11x - 9y=-13). Para (5x=-10), al sustituir (x = - 2), tenemos (5\times(-2)=-10), que es verdadero. Para (11x - 9y=-13), al sustituir (x=-2) y (y = - 1), tenemos (11\times(-2)-9\times(-1)=-22 + 9=-13), que es verdadero.

Step2: Comprobar la segunda opción

Sustituir (x=-2) y (y = - 1) en (2x + 9y=-1) y (11x - 9y=-13). Para (2x + 9y=-1), al sustituir (x=-2) y (y=-1), tenemos (2\times(-2)+9\times(-1)=-4-9=-13\neq - 1).

Step3: Comprobar la tercera opción

Sustituir (x=-2) y (y=-1) en (-6x + 9y=-1) y (11x - 9y=-13). Para (-6x + 9y=-1), al sustituir (x=-2) y (y=-1), tenemos (-6\times(-2)+9\times(-1)=12 - 9 = 3\neq-1).

Answer:

5x = -10 11x - 9y = -13