What is the rule about ending a sentence with a proposition?

It's not an error to end a sentence with a preposition, but it is a little less formal. In emails, text messages, and notes to friends, it's perfectly fine. But if you're writing a research paper or submitting a business proposal and you want to sound very formal, avoid ending sentences with prepositions.

Explanation:

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

op: object of preposition