Answer:
The system has infinite solutions
Is a consistent dependent system
Step-by-step explanation:
we have
First equation
[tex]\frac{1}{2}x-\frac{1}{3}y=5[/tex]
Isolate the variable y
[tex]\frac{1}{3}y=\frac{1}{2}x-5[/tex]
Multiply by 3 both sides
[tex]y=\frac{3}{2}x-15[/tex] ----> equation A
Second equation
[tex]x=\frac{2}{3}y+10[/tex] -
Isolate the variable y
[tex]\frac{2}{3}y=x-10[/tex]
Multiply by 3/2 both sides
[tex]y=\frac{3}{2}x-15[/tex] ---> equation B
Compare equation A and equation B
The equations are identical
therefore
The system has infinite solutions
Is a consistent dependent system
