What is the solution to the system of equations y=x+3, y=3x+1

Substitution method

y = x + 3 (*)

y = 3x + 1 (**)

Substitute (*) to (**):

3x + 1 = x + 3 subtract 1 from both sides

3x = x + 2 subtract x from both sides

2x = 2 divide both sides by 2

x = 1

Put the value of x to (*):

y = 1 + 3

y = 4Answer: x = 1 and y = 4 → (1, 4).