Ask Question
18 June, 02:54

How many solutions does this system of equations have?

3x = - 12y+15 and x+4y=5

A. one

B. two

C. infintely many

D. none

+5
Answers (2)
  1. 18 June, 06:10
    0
    B.) two

    Step-by-step explanation:

    These equations have two solutions, one for solving for each variable. There is a solution for solving for x, and one for y. For both of these equations,

    x = 5 - 4y and y = 5/4 - x/4
  2. 18 June, 06:47
    0
    B. two

    Step-by-step explanation:

    3x = - 12y + 15 x + 4y = 5

    Use the elimination method to solve the system of equations. Move the terms like so. As you can see I kept the first equation the same but multiplied the second equation by - 3.

    3x = - 12y + 15 - 3x = - 12y - 15

    Now add. 3x and - 3x cancel; so does 15 and - 15.

    0 = - 24y

    Divide by - 24. 0 div'd by - 24 is equal to 0.

    y = 0

    Substitute y into the second equation.

    x + 4 (0) = 5

    x + 0 = 5

    x = 5

    You've got x = 5 and y = 0; these are two solutions to the system of equations.
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “How many solutions does this system of equations have? 3x = - 12y+15 and x+4y=5 A. one B. two C. infintely many D. none ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers