mecca99
Answered

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

Verified Answer :

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 :

\(2x-3y=-14.............................(1)\\3x-2y=-6.........................(2)\)

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

\(6x-9y=-42.............................(3)\\6x-4y=-12.........................(4)\)

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

\(5y=30\\\\\Rightarrow\ y=6\)

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

\(2x-3(6)=-14\\\\\Rightarrow\ 2x=-14+18\\\\\Rightarrwo\ 2x=4\\\\\Rightarrow\ x=2\)

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

Now, consider  \(x-y\) and substitute the value of x and y , we get

\(2-6=-4\)

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