Question

X + 3y = 1

-3x - 3y = 15

Write the answer as an ordered pair. Solve using the substitution method.

Answer 1

To solve the system of equations x + 3y = 1 and -3x - 3y = 15 using the substitution method, solve for one variable in terms of the other in the first equation and substitute it into the second equation. Simplify and solve for the remaining variable. The solution is x = -8 and y = 3, so the ordered pair is (-8, 3).

Step-by-step explanation:

To solve the system of equations x + 3y = 1 and -3x - 3y = 15 using the substitution method, follow these steps:

1. From the first equation, solve for x in terms of y. x = 1 - 3y
2. Substitute this expression for x in the second equation. -3(1 - 3y) - 3y = 15
3. Distribute and simplify: -3 + 9y - 3y = 15
4. Combine like terms: 6y - 3 = 15
5. Add 3 to both sides: 6y = 18
6. Divide both sides by 6: y = 3
7. Substitute this value of y into the first equation to solve for x: x + 3(3) = 1
8. Simplify: x + 9 = 1
9. Subtract 9 from both sides: x = -8

The solution to the system of equations is x = -8 and y = 3. Therefore, the answer as an ordered pair is (-8, 3).