tsasha77
Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Discover the answers you need from a community of experts ready to help you with their knowledge and experience in various fields. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

y= 3x + 1

y= 2x - 3

When using the method called substitution, the x coordinate of the solution to the system of equations shown above is

A. 4
B. -4
C. 2
D. -2
F. Not included in this list

Sagot :

It might be C or D im also doing substitution so i don’t really know
Crizz27
Answer: B. -4

When 2 equations equal the same thing (in this case y) we can just re-write the equations this way:

3x + 1 = 2x - 3

Now, just start picking off little numbers that we don’t really need to get the x alone. I don’t like working with negative numbers, so i’ll get rid of the -3 by adding 3 to it. Since anything you do on one side of an equal sign you have to do on the other, i’ll add 3 to 1, which looks like this:

3x + 1 = 2x - 3
+3 +3
3x + 4 = 2x

Now I need to get both x’s on the same side, so i’ll subtract 3x from 3x, then subtract 3x from 2x:

3x + 4 = 2x
-3x -3x
4= -x

Variables should never be negative, and they look complicated too, so in order to make x positive again i’ll swap it’s side with 4. While doing this, remember that swapping sides means you swap 4 to a negative too:

4 = -x
x= -4

And there’s the answer, X equals -4. If you wanted to solve for y, just plug in the x value (which is -4 in this case) to any one of the equations:

y= 3x + 1
y= 3(4) + 1
y= 12+ 1
y= 13

Hope this helped!
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.