Verified Answer :

Answer:

The answer is the option A

\((4,6)\)

Step-by-step explanation:

we have

\(4x=3y-2\) -----> equation A

\(18=3x+y\) ----> isolate the variable y

\(y=-3x+18\) -----> equation B

Substitute the equation B in the equation A

\(4x=3(-3x+18)-2\)

\(4x=-9x+54-2\)

\(4x+9x=52\)

\(13x=52\)

\(x=4\)

substitute the value of x in the equation B

\(y=-3(4)+18=6\)

therefore

the solution is the point \((4,6)\)