Answer:
(x,y)=(6,-8)
x=6, y=-8
Explanation:
There are many was to answer this question, some are substitution and elimination. I am going to use the substitution method.
Your system of equation is 5x+3y=6 and -3x-3y=6
5x+3y=6
-5x -5x
3y=6-5x
Now you substittion the first equation to the sencond one. It will look like:
-3x-(6-5x)=6
-3x-6+5x=6
2x-6=6
+6 +6
2x=12
Divide both sides by 2 and you get
x=6
Now lets substiton x inot the orgianl equation.
-3(6)-3y=6
-18-3y=6
+18 +18
-3y=24
Divide both sides by -3
y=-8
So, the answer is x=6, y=-8