Answer:
[tex]a=-\frac{c-b}{2}[/tex]
Step-by-step explanation:
Solving for the variable [tex]a[/tex], given that :
[tex]b-2a=c[/tex]
We can first start start by subtracting [tex]b[/tex] from both sides of the equation:
[tex]-2a=c-b[/tex]
Now, we can divide both sides of the equation by the coefficient of [tex]a[/tex], which would be [tex]-2[/tex]:
[tex]a=\frac{c}{-2}-\frac{b}{-2}[/tex]
Applying the fraction rule [tex]\frac{a}{c}\pm\frac{b}{c} =\frac{a\pm b}{c}[/tex]:
[tex]a=\frac{c-b}{-2}[/tex]
Then, apply the fraction rule [tex]\frac{a}{-b} =-\frac{a}{b}[/tex]
[tex]a=-\frac{c-b}{2}[/tex]
