Respuesta :
Answer:
Option B is correct
(9, 3)
Step-by-step explanation:
Given the system of equations:
[tex]x-2y = 3[/tex] .....[1]
[tex]2x-3y = 9[/tex] ......[2]
Multiply equation [1] by 2 both sides we have;
[tex]2x-4y = 6[/tex] .....[3]
Subtract [3] from [2] to eliminate x we get;
[tex]2x-3y-2x+4y = 9-6[/tex]
Combine like terms;
[tex]y = 3[/tex]
or
y = 3
Substitute in [1] we have;
x-2(3) = 3
x -6 =3
Add 6 to both sides we have;
x = 9
Therefore, the solution for the given system of equations is, (9, 3)