2x+3y=12 (With work)
Mathematics · College · Thu Feb 04 2021
Answered on
Given the numerical equation:
2x + 3y = 12
Solve for x and y.
Solution:
To start with, we can solve first with x, then solve for y, since we cannot solve for both terms at the same time. To solve for x, we transpose 3y to the other side of the equation, and then divide both sides by 2 to cancel out 2x, leaving behind x. We must also take note that in transposing a number, the sign changes.
2x + 3y = 12
2x = 12 - 3y
2x/2 = (12 - 3y)/2
x = 6 - 3/2y
To solve for y, we osimply need transpose 2x to the other side of the equation, and then divide both sides by 3 to cancel out 3y, leaving behind y.
2x + 3y = 12
3y = 12 - 2x
3y/3 = (12 - 2x)/3
y = 4 - ⅔x
Final answer:
x = 6 - 3/2y
y = 4 - ⅔x