Answer:
a. infinite solutions
Step-by-step explanation:
The given equation is [tex]\frac{1}{5}(2x-15)=\frac{1}{10}(4x-30)[/tex]
We multiply through by 10 to get:
[tex]10*\frac{1}{5}(2x-15)=10*\frac{1}{10}(4x-30)[/tex]
[tex]2(2x-15)=4x-30[/tex]
[tex]4x-30=4x-30[/tex]
Add 30 to both sides
[tex]4x-30+30=4x-30+30[/tex]
[tex]4x=4x[/tex]
[tex]x=x[/tex]
There is infinitely many solution
