Answer:
(x, y) = (3, 1).
Explanation:
To solve the system of equations:
x + y = 4
2x - y = 5
We can use the method of elimination. We want to eliminate y from the equations, so we will multiply the first equation by 2 to get:
2x + 2y = 8
Now we can subtract the second equation from this equation to eliminate y:
2x + 2y - (2x - y) = 8 - 5
Simplifying, we get:
3y = 3
Dividing both sides by 3, we get:
y = 1
Now we can substitute this value of y into either equation to solve for x. Using the first equation, we get:
x + 1 = 4
Subtracting 1 from both sides, we get:
x = 3
Therefore, the solution to the system of equations is (x, y) = (3, 1).