Question

26=6(5-a)
What is a

Answer 1

2/3

Explanation:

Simplify

`26=6\cdot \left(5-a\right)\\26=6\cdot 5+6\cdot -a\\26=30+6\cdot -a\\26=30+\left(6\cdot -1\right)a\\26=30-6a\\30-6a=26`

Group constants

`30-6a=26\\30-6a-30=26-30\\-6a+30-30=26-30\\-6a=26-30\\-6a=-4\\`

Isolate the term, a

`-6a=-4\\(-6a)/(-6)=(-4)/(-6)\\(6a)/(6)=(-4)/(-6)\\a=(-4)/(-6)\\\\(-a)/(-b) = (a)/(b)\\\\a=(4)/(6)\\a=(2\cdot 2)/(3\cdot 2)\\a=(2)/(3)`