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5 votes
How many solutions does this system have?

x + 2y – 3z = 4
- 2x – 4y + 62 = -8
3x + 6y - 92 = 12
O There is no solution.
• There are an infinite number of solutions.
O There is one solution.
O There are three solutions.

1 Answer

5 votes

This system has three solutions (D).

Explanation for each of these problems are in the images below.

How many solutions does this system have? x + 2y – 3z = 4 - 2x – 4y + 62 = -8 3x + 6y-example-1
How many solutions does this system have? x + 2y – 3z = 4 - 2x – 4y + 62 = -8 3x + 6y-example-2
How many solutions does this system have? x + 2y – 3z = 4 - 2x – 4y + 62 = -8 3x + 6y-example-3