mecca99
contestada

2x-3y=-14
3x-2y=-6
if (x,y) is a solution to the system of equations above, what is the value of x-y?
A)-20
B)-8
C)-4
D)8
can you show your work please

Respuesta :

kokolino
2x-3y=-14/×(-3) <=>-6x +9y=42
3x-2y=-6/×2<=>6x-4y=-12 se reduce -6x cu 6x si ne ramane 5y=30<=>y=6 , luom o ec care o vrem si inlocuim pe y cu 6 ...3x -2x=-6<=>3x-12=-6<=>3x=6<=>x= 2 , x-y=2-6=-4
JeanaShupp

Answer:

Step-by-step explanation:

The given system of equations :

[tex]2x-3y=-14.............................(1)\\3x-2y=-6.........................(2)[/tex]

Multiply equation (1) with 3 and equation (2) with 2 , we get

[tex]6x-9y=-42.............................(3)\\6x-4y=-12.........................(4)[/tex]

Now subtract equation (4) from equation (3), we get

[tex]5y=30\\\\\Rightarrow\ y=6[/tex]

Substitute the value of y in equation (1), we get

[tex]2x-3(6)=-14\\\\\Rightarrow\ 2x=-14+18\\\\\Rightarrwo\ 2x=4\\\\\Rightarrow\ x=2[/tex]

Hence, the solution of the system : (x,y)=(2,6)

Now, consider  [tex]x-y[/tex] and substitute the value of x and y , we get

[tex]2-6=-4[/tex]

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