Answer:
X = 25.5
y = 8.5
Step-by-step explanation:
Equation 1: X + y = 34
Equation 2: X - y = 17
We can solve this system using the method of elimination. Adding Equation 1 and Equation 2 eliminates the variable "y" and allows us to solve for "X".
Adding the two equations, we get:
(X + y) + (X - y) = 34 + 17
2X = 51
Dividing both sides of the equation by 2, we have:
X = 51/2
X = 25.5
Now, we can substitute the value of X back into one of the original equations to solve for "y". Let's use Equation 1:
25.5 + y = 34
Subtracting 25.5 from both sides:
y = 34 - 25.5
y = 8.5
