"Stars, hide your fires, Let not light see my black and deep desires." He wants Lady Macbeth to rule Scotland as she is an ambitious woman.
He wants to conquer the neighboring lands of Scotland and make Lady
Macbeth the queen.
He does not want stars to shine as people will find him guilty of killing the
King.
He does not want the world to know his desire to become the king of
Duncan.

What Macbeth means by those lines is:

D. He does not want the world to know his desire to become the king of Duncan.

Explanation:

Famous poet and playwright William Shakespeare (1564 - 1616) is the author of the masterpiece that is "Macbeth". This play tells the bloody story of Scottish general Macbeth and his wife's thirst for power. After being told by three witches that he will one day become king, the ambitious and murderous Macbeth starts acting to make the prophecy come true.

In the lines "Stars, hide your fires, Let not light see my black and deep desires," Macbeth is basically saying he wants his deepest and darkest wishes to remain unknown to others. He does not want them to come to light - light, in this case, serving as a metaphor to something being out in the open, known to everyone. Macbeth is evil, but he understands that his wishes are wrong.

x=4, y=4

step-by-step explanation:

y=2x-4;

x+2y=12

we can use substitution since the first equation is solved for y

where ever you see y in the second equation, replace it with 2x-4

x + 2(2x-4) = 12

distribute the 2

x+4x-8 = 12

combine like terms

5x-8=12

add 8 to each side

5x-8+8=12+8

5x=20

divide by 5

5x/5 = 20/5

x =4

we still need to solve for y

y = 2x-4

we know x =4

y = 2(4) -4

y = 8-4

y=4