Answer:
[tex]x=\frac{101}{24}[/tex]
Step-by-step explanation:
we have
[tex]6x-6y=5[/tex] -----> equation A
[tex]16-3x=y[/tex] ----> equation B
solve the system by substitution
substitute equation B in equation A
[tex]6x-6(16-3x)=5[/tex]
solve for x
[tex]6x-96+18x=5[/tex]
[tex]6x+18x=5+96[/tex]
[tex]24x=101[/tex]
[tex]x=\frac{101}{24}[/tex]
