Answer:
The answer is the option A
[tex](4,6)[/tex]
Step-by-step explanation:
we have
[tex]4x=3y-2[/tex] -----> equation A
[tex]18=3x+y[/tex] ----> isolate the variable y
[tex]y=-3x+18[/tex] -----> equation B
Substitute the equation B in the equation A
[tex]4x=3(-3x+18)-2[/tex]
[tex]4x=-9x+54-2[/tex]
[tex]4x+9x=52[/tex]
[tex]13x=52[/tex]
[tex]x=4[/tex]
substitute the value of x in the equation B
[tex]y=-3(4)+18=6[/tex]
therefore
the solution is the point [tex](4,6)[/tex]
