Answer:
To solve the system of equations using substitution, follow these steps:
1. Solve one of the equations for x or y. Let's solve the first equation for x:
x = 1 - 3y
2. Substitute the expression found in step 1 into the other equation:
4(1 - 3y) - y = 17
4 - 12y - y = 17
4 - 13y = 17
-13y = 13
y = -1
3. Now that we have found the value of y, substitute it back into the equation x = 1 - 3y:
x = 1 - 3(-1)
x = 1 + 3
x = 4
Therefore, the solution to the system of equations x + 3y = 1 and 4x - y = 17 is the ordered pair (4, -1).
Step-by-step explanation:
