3.9k views
3 votes
What is the system of equations that represents 6x – 8 = 4?

1) y = 6x – 8
2) y = –4
3) y = 6x – 8 and y = –4
4) y = 6x – 8 and y = 4
5) y = –6x

User Matthew P
by
8.2k points

1 Answer

1 vote

Final answer:

The correct system of equations that represents 6x - 8 = 4 is option 3) y = 6x - 8 and y = -4, where the first equation represents the linear relationship and the second is the constant value of y.

Step-by-step explanation:

The student is asking to find the system of equations that represents the given equation 6x – 8 = 4. This can be turned into a linear equation by isolating y on one side, which gives us y = 6x – 8. A system of equations involves more than one equation, and since 6x - 8 = 4 is equivalent to y = 6x – 12, the first equation in our system is y = 6x - 8. To find a second equation, we should look to equate y to a constant since no other variables are given. The given equation 6x - 8 = 4 simplifies to y = -4 when turned into a y-based equation, as the constant term on the right-hand side of the equation should be what y equals when x is zero. Therefore, the correct system of equations is y = 6x – 8 and y = –4, making option 3) the correct choice.

User Haravikk
by
8.6k points

No related questions found

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