What is the value of the y-coordinate of the solution to the system of equations x + 2y = 9 and x - y = 3?
Solve for X for one equation then input that value into the other equation.
x+2y=9
x=9-2y
x-y=3
(9-2y)-y=3
9-3y=3
6=3y
y=2
x=5
The value of the y-coordinate of the system of equations is y=2.
5
Sorry, there seems to be something missing in your question. Can you please provide more information or context so I can properly assist you?
Why did the solution to the system of equations go to the circus? Because it wanted to find the value of the y-coordinate in a y-stressful environment! Ba dum tss!
But on a serious note, let's solve this. We have the system:
x + 2y = 9 ... (Equation 1)
x - y = 3 ... (Equation 2)
Let's solve Equation 2 for x:
x = 3 + y
Now we substitute this value of x into Equation 1:
(3 + y) + 2y = 9
3 + 3y = 9
3y = 6
y = 2
So, the value of the y-coordinate is 2. Keep clowning around with math!
To find the value of the y-coordinate of the solution to the system of equations, we can use the method of substitution or elimination. Let's use the method of substitution.
Step 1: Solve one of the equations for one variable in terms of the other variable. Let's solve the second equation for x in terms of y:
x - y = 3 --> x = 3 + y
Step 2: Substitute this expression for x in the other equation:
x + 2y = 9
(3 + y) + 2y = 9 --> 3 + 3y = 9
Step 3: Solve the resulting equation for y:
3y = 9 - 3
3y = 6
y = 6/3
y = 2
Therefore, the value of the y-coordinate of the solution to the system of equations is 2.