Answer
The y coordinate is 7.
Work Step by Step
First lets solve the system so that we can find the y coordinate of the system. Our two systems are,
1. 4x+3y=33
2. 3x+2y=23
Now, lets multiply the first equation by a scalar of 2 and the second equation by a scalar of 3.
1. 2(4x+3y=33)
2. 3(3x+2y=23)
Simplify:
1. 8x+6y=66
2. 9x+6y=69
Now lets subtract the second equation from the first. Our y terms cancel out and we get:
8x+6y=66
-
9x+6y=69
_____________
-x=-3 (divide both sides by-1)
x=3
Now that we have the value of x, lets substitute into the second equation to get the value of y.
3(3) +2y=23
9+2y=23 (Subtract 9 from both sides)
2y=14 (Divide both sides but 2)
y=7
So our answer is the ordered pair:
(3,7)
Our y coordinate of the ordered pair is 7.
