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ad-work [718]
3 years ago
11

Identify a possible first step using the elimination method to solve the system and then find the solution to the system. 3x + 2

y = 24 6x + 2y = 30
Mathematics
2 answers:
andrezito [222]3 years ago
5 0

Answer:

Solution of the system of the equations is (2, 9)

Step-by-step explanation:

System of the equations has been given as

3x + 2y = 24 --------(1)

6x + 2y = 30 --------(2)

First step to solve these equations for the solution will be "Subtraction of equation (1) from equation (2).

   6x + 2y = 30

(-) <u>3x + 2y = 24</u>

           3x = 6  ⇒ x = 2

Now we plug in the value of x in equation (1)

3(2) + 2y = 24

6 + 2y = 24

2y = 24 - 6

y = \frac{18}{2}

y = 9

Therefor, solution of the system of the equations is (2, 9)

valentinak56 [21]3 years ago
3 0
B. multiply 1st equation by -2, solution (2,9).<span />
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3 years ago
Which of these is the algebraic expression for "eight less than some number?"
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B-8 would be the answer. This is because we are saying you have 8 less than something. So no matter what something is, we are taking away 8 from it. Since our something is unknown, we use our variable 'b' in its place, and subtract 8, giving us b-8.<span />
8 0
3 years ago
Which function describes this table of value x -8, -4, 4, 8, y -2, 0, 4, 6
nadezda [96]

we conclude that the linear equation represented by the given table is:

y = (1/2)*x + 2

<h3>Which function is the one described by the table?</h3>

A general linear equation is given by:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through (x₁, y₁) and (x₂, y₂), then the slope is given by:

a = \frac{y_2 - y_1}{x_2 - x_1}

Here we can use just the first two points on the given line:

(-8, -2) and (-4, 0)

Then the slope will be:

a = \frac{0 - (-2)}{-4 -(-8)}  = \frac{2}{4} = \frac{1}{2}

Then the linear equation is something like:

y = (1/2)*x + b

To find the value of b, we can use one of the two given points, I will use (-4, 0), then:

0 = (1/2)*(-4) + b

0 = -2 + b

2 = b

Then we conclude that the linear equation represented by the given table is:

y = (1/2)*x + 2

Then the correct option is the first one.

If you want to learn more about linear equations:

brainly.com/question/1884491

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8 0
2 years ago
Please help 100 points!!
Naddik [55]

Answer:

Looking at the first question, it's asking what best describes the probability of tossing a number less than 6 on a number cube that has 6 numbers.  Impossible means that it will never land on it, for example asking what the probability of landing on 7 is.  Unlikely is something that doesn't happen often.  The best option that fits our scenario is option C, likely.

Looking at the second question, it's asking what the probability that the teacher chooses a girl in his class.  There are 15 girls and a total of 27 students in the class so we take the probability by doing 15/27.  We can narrow both the numerator and the denominator using 3 which gives us 5/9.  Therefore, the best option that fits our scenario is option C, 5/9.

Finally, looking at the last question, it's asking what the theoretical probability that the coin will land on heads on the next toss.  Theoretical probability doesn't consider how much times Murray tossed the coin, the only thing it cares about is what the actual probability of tossing a coin is.  Therefore that makes it a 50% chance of landing on a heads and a 50% chance of landing on a tails.  The best option that first our scenario is option B, 1/2.

<u><em>Hope this helps!  Let me know if you have any questions</em></u>

7 0
2 years ago
Read 2 more answers
A news site offers a subscription that costs $28.50 for 6 months. What is the unit price per month.
crimeas [40]
Divide the total cost by the amount of months
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3 years ago
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