Answer:
x = 1 y = -3 (1, -3)
Explanation:
Use the Substitution Method
First, you have to turn the equations into slope intercept form (y = mx + b)
First equation
x - y = 4
subtract x from both sides
-y = -x + 4
divide each side by -1
y = x - 4
Second Equation
4x + y = 1
subtract 4x from both sides
y = -4x + 1
Turn the two new equations into one equation like so
-4x + 1 = x - 4
add 4x to both sides
1 = 5x - 4
add 4 to both sides
5 = 5x
divide each side by 5
x = 1
Fill in x in one of the original equations in order to find the value of y
4(1) + y = 1
4 + y = 1
subtract 4 from both sides
y = -3
The solution is (1, -3)
hope this helps :)