what is the value of y- coordinate of the solution to the system of equation x + 2y = 9 and x- y= 5

To find the value of the y-coordinate of the solution to the system of equations, you can use the method of substitution or elimination.

Let's use the method of substitution:
1. Solve one of the equations for x or y in terms of the other variable.
From the second equation, we can isolate x:
x - y = 5
x = y + 5

2. Substitute the expression for x from step 1 into the other equation.
Substituting x = y + 5 into the first equation:
(y + 5) + 2y = 9
Combine like terms:
3y + 5 = 9
Subtract 5 from both sides:
3y = 4
Divide both sides by 3:
y = 4/3

So the value of the y-coordinate of the solution is y = 4/3.