Question

Solution to this system of linear equation
-6x=48-6y
-4x=50-6y

Answer 1

`\large\boxed{x=1,\ y=6\to(1,\ 6)}`

Explanation:

`\left\{\begin{array}{ccc}-6x=48-6y&\text{change the signs}\\-4x=50-6y\end{array}\right\\\underline{+\left\{\begin{array}{ccc}6x=-48+6y\\-4x=50-6y\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad2x=2\qquad\text{divide both sides by 2}\\.\qquad x=1\\\\\text{Put it ot the first equation:}\\-6(1)=48-6y\\-6=48-6y\qquad\text{subtract 48 from both sides}\\-54=-6y\qquad\text{divide both sides by (-6)}\\9=y\to y=6`