Hey there! I'd be happy to help you step by step with this problem. It looks like you have two equations: Y = x + 5 and Y = -x + 9. These are both linear equations, and we can solve them by finding the values of x and Y that satisfy both equations.
To start, let's set the two equations equal to each other since they both equal Y:
x + 5 = -x + 9
Next, let's simplify the equation by moving all the x terms to one side and all the constant terms to the other side:
x + x = 9 - 5
This simplifies to:
2x = 4
Now, we can solve for x by dividing both sides of the equation by 2:
x = 4/2
x = 2
Great! We have found the value of x. Now, let's substitute this value back into one of the original equations to find the value of Y. Let's use Y = x + 5:
Y = 2 + 5
Y = 7
So the solution to the system of equations is x = 2 and Y = 7.
I hope that helps! If you have any more questions or need further clarification, feel free to ask.