Question 569696
i have no idea what you were trying to do and no its not correct.
easiest way is to do the elimination method but you could do substitution method if you wanted to
{{{2x+3y=-27}}} 
{{{-3x+2y=23}}}
first find the lowest common variable for y spot in both equations that will be easy to eliminate we want to eliminate the y so we can solve for the x coordinate best would be {{{6y}}}
2(2x+3y=-27)
3(-3x+2y=23)
.
{{{4x+6y=-54}}}
{{{-9x+6y=69}}}now subtract the 2 equations
.
{{{4x-(-9x)+6y-6y=-54-69}}}
{{{13x=-123}}} divide by 13
{{{x=-123/13}}}