227k views
0 votes
Which method is better to solve the following system of equations?

x = 3y + 6
4x + y = 18
(A) Substitution method
(B) Elimination method
(C) Both methods are equally good.
(D) Neither method is good.

1 Answer

5 votes

Final answer:

The substitution method is more suitable for the system of equations provided since one equation is already solved for x, allowing for straightforward substitution and solving.

Step-by-step explanation:

To determine which method is better for solving the system of equations:

  • x = 3y + 6
  • 4x + y = 18

The substitution method is an appropriate choice here since one equation is already solved for x. We can substitute the expression for x from the first equation into the second equation and solve for y. After finding y, we can substitute y back into the first equation to find x.

Step-by-step using substitution:

  1. Substitute x from the first equation into the second: 4(3y + 6) + y = 18.
  2. Simplify and solve for y: 12y + 24 + y = 18.
  3. Find y: 13y = -6, y = -6/13.
  4. Substitute y back into the first equation to find x: x = 3(-6/13) + 6.
  5. Solve for x: x = -18/13 + 78/13, x = 60/13.

Thus, the solution to the system is x = 60/13 and y = -6/13. Answer choice (A) Substitution method is better for solving the given system of equations.

User JJP
by
9.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.