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Kai Moon
Mathematics
11 October, 20:06
How many solutions does 6 - 3x = 12 - 6x have?
+5
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1
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Nora Sanders
11 October, 20:29
0
1 solution
Step-by-step explanation:
Remark
1 solution
Rule: the number of solutions to an equation is at most the same number as the highest number on the variable. for example
x^3 + 4x^2 - 6x - 15 has at most 3 real solutions because the highest power is x^3
x^n + x^ (n - 1) ... has at most n real solutions. It can have fewer.
Solution
So 6 - 3x = 12 - 6x Subtract 6 from both sides
6 - 6 - 3x = 12 - 6 - 6x Combine
-3x = 6 - 6x Add 6x to both sides
-3x + 6x = 6 Combine
3x = 6 Divide by 3
x = 6/3 = 2
Check
6 - 3 (2) = 12 - 6 (2)
0 = 0 which checks
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