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Step-by-step explanation:
Find the values of x and y to determine how many solutions.
Use the elimination method. Add both of the equations.
Sum:
[tex]3y=-1[/tex]
Divide each side by 3:
[tex]\boxed{y=-\frac{1}{3}}[/tex]
Substitute y = -(1/3) into the first equation:
[tex]-5x+6(-\frac{1}{3})=-2[/tex]
Multiply:
[tex]-5x-2=-2[/tex]
Add 2 to both sides:
-5x = 0
We can determine:
[tex]\boxed{x=0}[/tex]
(0, -1/3)
The system of equations have 1 solution.