Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

7x + 2y =10
-7x+y=-16
Using elimination method

Sagot :

First, I would write the problem vertically because it just helps me better.

7x+2y=10
-7x+1y=-16  

Then, I would add downwards.

    7x+2y=10
+ -7x+1y=-16
-------------------
    0x+3y=-6

Now, divide 3 from both sides.

3y=-6
---  ---
3     3

y=-2 

Now, plug in -2 for y in any equation to get x.

7x+2(-2)=10

Combine like terms

7x-4=10

Add 4 to both sides

7x-4=10
   +4  +4
-------------
7x=14

Divide each side by 7.

7x=14
----  ---
7    7

x=2 

So your solution is
(2,-2)

To check the solution, plug in the x and y values in both equations.

7(2)+2(-2)=10
14-4=10
10=10 

-7(2)-2=(-16)
-14-2=-16
-16=-16 

Therefore, the solution works.
You must always plug in the x and y values into both equations to check the solution because sometimes the solution will work for one and not the other.
The solution must work to both equations in other for it to be right.




We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.