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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Answer:
Step-by-step explanation:
Let d represent number of dolls in 2nd basket.
We have been given that a day-care center has 2 baskets of dolls. One basket has 8 dolls, and the other basket has an unknown number of dolls in it. We are asked to represent this situation in an expression.
The number in both baskets would be equal to dolls in 1st basket plus dolls in 2nd basket.
We can represent this information in an expression as:
Therefore, our required expression would be , where d represents number of dolls in 2nd basket.