Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Solve the system of linear equations. Y=-1/6x+5 and x+6y=30 Can you explain the steps?

Sagot :

Supernova

Answer:

Infinitely many solutions

Step-by-step explanation:

y = -1/6x + 5

x + 6y = 30

We can solve this system by using substitution or elimination. Since we are given an isolated y-value, I'll be using the substitution method.

Substitute y = -1/6x + 5 into the second equation for y.

  • x + 6(-1/6x + 5) = 30

Distribute 6 inside the parentheses.

  • x - x + 30 = 30

Combine like terms.

  • 30 = 30

Since this is a true statement, we can conclude that this system has a solution of all real numbers, or infinitely many solutions.

We can also see that these equations are indeed equivalent by multiplying the top equation by 6.

6 * (y = -1/6x + 5) → 6y = -x + 30

Adding x to both sides and rearranging terms gives us x + 6y = 30, which is the same as the second equation.

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.