Use substitution to solve the following system of linear equations.
$4x+y=1$
$x-y=4$

• A. $\left(-1,3\right)$
• B. $\left(-3,1\right)$
• C. $\left(3,-1\right)$
• D. $\left(1,-3\right)$

Answer: (D)

Verified step by step guidance

1. Start with the given system of equations: 4x + y = 1 and x - y = 4.
2. Solve the second equation for y: y = x - 4.
3. Substitute the expression for y from the second equation into the first equation: 4x + (x - 4) = 1.
4. Simplify the equation: Combine like terms to get 5x - 4 = 1.
5. Solve for x: Add 4 to both sides to get 5x = 5, then divide by 5 to find x.