Answer
x = 3, y = -1
Explanation:
i used substitution because i find that easier most times so here goes:
x + 6y = -3
- 6y
x = -6y -3
now we have an "x=" to plug into the "y=" we will get ina second
2x + 3y = 3
-2x
3y = -2x + 3
divide the whole thing by 3 to get y by itself. you get:
y = -2/3x + 1
now plug in what you got for x, which was (-6y-3), into the x. so:
y = -2/3(-6y - 3) + 1
now you multiply the -2/3 by the -6y and the -3. when you distribute that you get
y = 4y + 2 + 1
then combine like terms by adding 2 + 1 to get 3 and subtracting the y on the right from the 4y on the left to get
= 3y + 3
since you cant have an empty side of the equal sign, move the 3y over to the left side by subtracting it. you get
-3y = 3 now divide everything by -3 to get y = -1
now you have your y variable so now just plug that into the original equation to get x + 3
HOPE THIS HELPS!!!
if you have more questions or didnt understand something, please let me know!! ill explain it!!