Answer:
[tex]B=3A-5[/tex]
Explanation:
Variable Isolation
It's a common practice when dealing with equations that we have to isolate one variable in terms of other variables and/or constants. The isolation of the variable usually implies adding, subtracting, multiplying or dividing by constants. The following example shows how to isolate the A:
[tex]2A+3B=-4\\\\2A=-4-3B\\\\\displaystyle A=\frac{-4-3B}{2}[/tex]
We are required to find the equation where the variable has a coefficient of 1 and isolate it. The following equation fits into the description:
[tex]3A-B=5[/tex]
Isolating B:
[tex]B=3A-5[/tex]