Find the solution to the system of equations by using either graphing or substitution.

Question

y=4x and y + x=5

A) (-4,1)
B) (1,4)
C) (-3, 2)
D) (2,3)

Answer 1

To solve this system of equations using substitution, we can substitute the expression for y from the first equation into the second equation:

4x + x = 5
5x = 5
x = 1

Now that we have x = 1, we can substitute it back into the first equation to solve for y:

y = 4(1)
y = 4

Therefore, the solution to the system of equations is x = 1 and y = 4, which corresponds to point B) (1,4).