Determine which system below will produce infinitely many solutions. −6x + 3y = 18 4x − 3y = 6 2x + 4y = 24 6x + 12y = 36 3x − y
2 answers:
Answer:
Option C is correct.
System of equation which will produce infinitely many solutions:
3x - y = 14
-9x +3y = -42
Step-by-step explanation:
From the options
Only equation which is infinitely many solutions is
3x - y = 14 ......[1]
-9x +3y = -42 ......[2]
For infinitely many solutions, we are looking for linearly dependent equations, which means one equation is an exact multiple or sub-multiple of the other.
Multiply [1] by -3 we get
or
-9x + 3y = -42 which is same equation as [2]
therefore. by definition of infinitely many solution,
equation 2 is -3 times(or multiple) of equation 1
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