y = 4x and y + x = 5. Show your work.
A. (-4, 1)
B. (1, 4)
C. (-3, 2)
D. (2, 3)
We can use substitution to solve for x and y. Since y = 4x, we can replace y with 4x in the second equation:
y + x = 5
4x + x = 5 (replace y with 4x)
5x = 5
x = 1
Now that we know x = 1, we can use the first equation to find y:
y = 4x
y = 4(1)
y = 4
Therefore, the solution is (1, 4), which corresponds to answer choice B.