68.4k views
3 votes
Solve the system of equations using substitution.

4x - y = 7
3y – 12x = -21
(3,5)
(6, 17)
no solution
infinite solutions

2 Answers

3 votes

Answer: infinite solutions. Just took the quiz

Explanation:

User Jyo De Lys
by
4.9k points
4 votes

Answer:

Infinite amount of solutions

Explanation:

Step 1: Write systems of equations

4x - y = 7

3y - 12x = -21

Step 2: Rewrite

-y = 7 - 4x

y = 4x - 7

Step 3: Solve for x

  1. Substitute in y into second equation: 3(4x - 7) - 12x = -21
  2. Distribute 3: 12x - 21 - 12x = -21
  3. Combine like terms: -21 = -21

Here we see that we would have infinite amount of solutions.

User Amrullah Zunzunia
by
4.6k points