151k views
4 votes
Is (4, 7) a solution to the system of equations? Explain your answer.

2x + 4y = 36
3x – 4y = –6

User Nabizan
by
8.3k points

1 Answer

3 votes

For this case we have the following system of equations:


2x + 4y = 36\\3x-4y = -6

We must verify if the point
(x, y) :( 4,7) is a system solution.

Substituting we have:

First equation:


2 (4) +4 (7) = 36\\8 + 28 = 36\\36 = 36

Second equation:


3 (4) -4 (7) = - 6\\12-28 = -6\\-16 = -6

Equality is not fulfilled, so the point is not a system solution.

Answer:

The given point is not a system solution

User John Ackerman
by
7.5k points

No related questions found

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

9.4m questions

12.2m answers

Categories