Question

I need help solving: c= 8a-3b and solve for a

Answer 1

hello

`c=8a-3b`

solve for a

step 1

add 3b to both sides of the equation

reason; we're doing this so that we take -3b to the other side of the equation so the we can have a and it's coefficient on one side of the equation

`\begin{gathered} c=8a-3b \\ c+3b=8a-3b+3b \\ c+3b=8a \end{gathered}`

or we can simply say take -3b to the other side of the equation in order to make it easy to equate a

but note that whenever a variable or real number crosses an equality or inequality sign, the sign changes from either positve (+ve) to negative (-ve) or negative (-ve) to positive (+ve).

in this case, -3b

now we have our equation almost set

step 2

divide both sides by 8 to solve for a

`\begin{gathered} 8a=c+3b \\ (8a)/(8)=(c+3b)/(8) \\ a=(c+3b)/(8) \end{gathered}`