Final answer:
To solve the given system of equations 4x + y = 13 and x - y = 2, we can use the method of substitution. Substitute x in terms of y into equation (1) and solve for y. The value of y is 1.
Step-by-step explanation:
To solve the given system of equations:
4x + y = 13 -- (1)
x - y = 2 -- (2)
We can solve this system of equations by using the method of substitution.
From equation (2), we can express x in terms of y: x = 2 + y. Now substitute this value of x into equation (1): 4(2 + y) + y = 13.
Simplify the equation: 8 + 4y + y = 13. Combine like terms: 5y = 5. Divide both sides by 5: y = 1.
Therefore, y = 1.