What is the value of the y-coordinate of the solution to the system of equations?
X + 2y = 4
-2y - 3y =9
double the first and add to the 2nd, assuming you have a typo in the second and meant
-2x - 3y = 9
2x + 4y = 8
-2x - 3y = 9
y = 17
To find the value of the y-coordinate of the solution to the system of equations, we need to solve the system by using an appropriate method. In this case, I will use the method of substitution.
First, let's solve the first equation for x:
x + 2y = 4
x = 4 - 2y
Now, substitute this expression for x into the second equation:
-2y - 3y = 9
-5y = 9
Divide both sides by -5:
y = 9 / -5
y = -9/5
Therefore, the value of the y-coordinate of the solution to the system of equations is -9/5.