Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

x+3y=14
y=3x-14
Solving systems using substitution
How do i do this?

Sagot :

Panoyin
x + 3y = 14
x + 3(3x - 14) = 14
x + 9x - 42 = 14
10x - 42 = 14
      + 42 + 42
       10x = 56
        10     10
           x = 5.6
5.6 + 3y = 14
- 5.6         - 5.6
         3y = 8.4
          3       3
           y = 2.7
     (x, y) = (2.7, 5.6)
MooZ
For this problem, you first plug y=3x-14 in to x+3y=4

The equation will thin look like this:
x+3(3x-14)-14

since the value of y is equal to 3x-14, that means that 3y=3(3x-14)

then you distribute 3 into 3x-14
it will look like this:
3*(3x)+3*(-14)
(9x)+(-42)
9x-42

now you should have written x+9x-42=14

next, combine like terms
x+9x-42=14

10x-42=14
    +42 +42
10x=56

now, you divide 56 by 10
10x=56
10    10

x=5.6

okay, now that x has been solved for, we now need to find the value of y
the simplest way to go about this is to choose the equation that already has y by its-self.
y=3x-14
plug 5.6 in to x
y=3(5.6)-14
now solve for y

y=(16.8)-14
y=2.8

FINAL ANSWER
y=2.8
x=5.6

if you want to check your work, you can plug x and y into either equation

x+3y=14
(5.6)+3(2.8)=14
5.6+8.4=14
14=14

y=3x-14
(2.8)=3(5.6)-14
2.8=16.8-14
2.8=2.8

I hope this helps.

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.