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What is the solution to this system of equations?
x + y - 2z = 2
3x + 3y - 6z = 6
-2x - 2y + 4z = -4

User MJC
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6.5k points

1 Answer

6 votes

Answer: infinitely many solutions

Explanation:

Let's see what we have here. We have:

x + y - 2z = 2

3x + 3y - 6z = 6

-2x -2y + 4z = -4

Upon looking further we can see that all the equations are the same. When we multiply the first one by 3 we get the second equation. And when we multiply the first one by -2 we get the third equation. Therefore there are infinitely many solutions.

(Make sure to check this because I am still a beginner)

User Gildas Ross
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