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Sagot :
You add two equations together to eliminate a variable. This particular problem is nice, because it's already setup to eliminate X.
3x - 4y = 9
-3x + 2y = 9
When we add these two together, 3x - 3x cancels each other out, leaving us with 0x, or nothing.
We continue with -4y + 2y (leaves us with -2y) and 9+9 (18).
-2y = 18
18/-2 = -9.
Now we have y = -9, and we can go back into the problems to solve for x.
3x - 4(-9) = 9
3x + 36 = 9.
3x = -27
x = -9.
Confirm with the final equation:
-3(-9) + 2(-9) = 9
27 - 18 = 9
9 = 9 --- Confirmed.
3x - 4y = 9
-3x + 2y = 9
When we add these two together, 3x - 3x cancels each other out, leaving us with 0x, or nothing.
We continue with -4y + 2y (leaves us with -2y) and 9+9 (18).
-2y = 18
18/-2 = -9.
Now we have y = -9, and we can go back into the problems to solve for x.
3x - 4(-9) = 9
3x + 36 = 9.
3x = -27
x = -9.
Confirm with the final equation:
-3(-9) + 2(-9) = 9
27 - 18 = 9
9 = 9 --- Confirmed.
Answer:
[-9, -9]
Step-by-step explanation:
Here is how the Eliminasyon Metòd is done:
{3x - 4y = 9
{-3x + 2y = 9
--------------
-2y = 18; -9 = y [plug this back into both equations for y to get -9 = x]
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**I do have videos that talk about how to solve systems of equations in two to three variables using the Elimination and Substitution methods. I encourage you to check them out!
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