If \(x - 2y + 4z = 6\), \(3x + y + 5z = 4\) and \(2x - y + 3z = 4\), then what is the value of \((2x – 3y + 5z)\)?
Question and options
If , and , then what is the value of ?
- 7
- 6
- 8
- 4
Answer and explanation
Correct answer: C - 8
Solving the system gives x = 0, y = -1, z = 1 (check: 0+2+4=6, 0-1+5=4, 0+1+3=4). Then 2x-3y+5z = 0+3+5 = 8.
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