Question

8x + 6y = 10
5x - 3y = 2.2
Which statement about the system of equations is true?
A) The system has no solutions.
B) The system has many solutions.
C) The system has exactly 1 solution.
D) The system has exactly 2 solutions.

Answer 1

Have you tried plugging any certain values into the equations to test it?

Answer 2

no i truely have no idea on how to find it @xMissAlyCatx

Answer 3

Okay, hold on.

Answer 4

Try to use this to guide you..

Answer 5

i got it, thanks

Answer 6

In order to find y, we need to express x in terms of y , so we use the first equation to do that:
8x+6y=10 means that 8x=10-6y means x=(10-6y)/8
After that we head back towards the second equation and replace x:
so 5x-3y=2.2 becomes 5(10-6y)/2 -3y=2.2 means 50-54y=17,6 means y=(17.6-50)/-54 means y=16.67
and then we return to the first equation where we expressed x in terms of y in order to find the value of x:
x=(10-6x16.67)/8=-11.25
I am really tired so I could have committed a calculation error, you can check! And contact me if you do not understand anything! :)