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Crazy boy [7]
4 years ago
12

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

Mathematics
1 answer:
tatiyna4 years ago
8 0
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.
<u>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.</u>
The solution must work to both equations in other for it to be right.




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Answer:

Option A is correct.

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Step-by-step explanation:

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Read 2 more answers
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