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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.

Respuesta :

wolf1728
It could be D or C
The system has two solutions
x = .8 y = .6

OR if you think about it , (x=.8 y=.6) could be considered THE solution.
I would go with choice C
Here, Multiply second equation by 2, 
10x - 6y = 4.4

Now, Add both the equations, 
18x = 14.4
x = 14.4 / 18
x = 0.8

Substitute it in 2nd equation, 
5(0.8) - 3y = 2.2
-3y =2.2 - 4
y = 1.8/3
y = 0.6

Solution of the system of Equation is: (0.8, 0.6)

In short, Your Answer would be Option C

Hope this helps!