SOLUTION: Solve the following system of equations: y = 3x + 15 2x − 3y = −17 What is the y-coordinate of the solution?

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Question 1098994: Solve the following system of equations:
y = 3x + 15
2x − 3y = −17

What is the y-coordinate of the solution?
Found 2 solutions by Fombitz, ikleyn:
Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!


and


So then setting them equal to each other,




Solve for y.
Answer by ikleyn(52790)   (Show Source): You can put this solution on YOUR website!
.
From the first equation, you just have an expression for y.


Substitute it into the second equation. You will get


2x - 3*(3x+15) = -17  ====>  2x - 9x - 45 = -17  ====>  -7x = -17 + 45  ====>  -7x = 28  ====>  x =  = -4.


Then from the first equation  y = 3*(-4) + 15 = -12 + 15 = 3.


Answer.  y-coordinate of the solution is y = 3.


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