Answer:
(9,4)
Explanation
You can use substitution:
plug in y=2x-14 into 3x-2y=19
3x-2(2x-14)=19
then simplify it
3x-4x+28=19
-x+28=19
-x=-9
divide everything by -1
x=9
Then plug in x=9 into the equation to find y
y=2x-14
y=2(9)-14
y=18-14
y=4
To check your answer plug x and y back into the equation
3(9)-2(4)=19 check
4=2(9)-14 check