Question 119911
I see nothing wrong with your work.
The conclusion should be written as:
{{{x = 44}}}
To check your solution, substitute x = 44 into the original equation and solve for y.
{{{y = 5(x-(7-x))-9(x+1)}}} Substitute x = 44
{{{y = 5(44-(7-44))-9(44+1)}}}
{{{y = 5(44-(-37))-9(45)}}}
{{{y = 5(81)-405}}}
{{{y = 405-405}}}
{{{y = 0}}} Your solution (x = 44) is correct!