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Alex Ar [27]
3 years ago
5

In the system of equations shown, a is the coefficient of x. The system has infinitely many solutions. What is the value of a? x

– 2y = 4 ax– 6y = 12
Mathematics
1 answer:
damaskus [11]3 years ago
7 0

x – 2y = 4

ax– 6y = 12

The second equation must has a value for a that makes the second equation equal to the first. In other words a has to be something that divides through the second equation to get the first.

The easiest way to proceed is to look at the right hand side. One equation has 12 on the right. The other has 4. What do you have to do to 12 to get it down to 4. I suppose you could subtract 8, but that would not apply to the left side.

The answer is divide 12 by 3.

If you do that then the 6 is divided by 3.

Find a

Now you need to consider a's value. It is either 1 or 3. If you choose 1, you will not be able to divide properly: dividing by 3 will leave you with 1/3.

The thing you must do is make a = 3

The second equation then becomes

3x - 6y = 12   Divide everything by 3

x - 2y = 12/3 = 4

Answer: a = 3

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1. Four bags of chips cost $6. 1. What is the cost per bag? 2. At this rate, how much will 7 bags of chips cost?​
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2 years ago
Which procedure justifies whether Negative 3 x (5 minus 4) + 3 (x minus 6) is equivalent to Negative 12 x minus 6? The expressio
Nady [450]

Answer:

The expressions are not equivalent because -3(2)(5-4)+3(2-6)=-18 and -12(2)-6=-30

Step-by-step explanation:

Two expressions are said to be equal if after a number is substituted to the expression, they produce the same result (that is they have the same value).

To determine whether -3x(5-4)+3(x-6) is equivalent to -12x-6, we have to substitute the same number to the expression and see if it produces the same result.

Substituting 2 to the first expression gives:

-3×2(5-4) + 3(2 - 6) = -6 - 12 = -18

Substituting 2 to the second expression gives:

-12(2) - 6 = -24 - 6 = -30

Since -3×2(5-4) + 3(2 - 6) = -6 - 12 = -18 and -12(2) - 6 = -24 - 6 = -30, the expressions are not equivalent because they do not produce the same result.

7 0
3 years ago
Read 2 more answers
Zane way to color meatballs during a science class the blue ball weighs 7 lb in the green ball weighed 0.69 lb in the same place
Umnica [9.8K]

you would just add both of them together so the weight would be 7.69 Ibs

7 0
3 years ago
PLEASE HELP ASAP ILL GIVE BRAINLIEST
Veseljchak [2.6K]

Answer:

x>-23/7

Step-by-step explanation:

-23<7x

7x>-23

x>-23/7

the answer is x>-23/7

5 0
2 years ago
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