MATHEMATICS HIGH SCHOOL

Solve the system of equations2x+6y=-6, 4x-3y=-12
what is the solution to the system of equations

Answers

Answer 1

Answer:

2x + 6y = -6 ...(1)

4x - 3y = -12 ...(2)

We can use the method of substitution or elimination to find the solution. I will use the method of substitution.

From equation (1), we can solve for x in terms of y:

2x = -6 - 6y

x = (-6 - 6y)/2

x = -3 - 3y

Now, substitute this value of x into equation (2):

4(-3 - 3y) - 3y = -12

-12 - 12y - 3y = -12

-15y = 0

y = 0

Substitute this value of y back into equation (1) to find x:

2x + 6(0) = -6

2x = -6

x = -3

Therefore, the solution to the system of equations is x = -3 and y = 0.

hope this helps

Answer 2

Answer:

Answer:

x = -3, y = 0

Step-by-step explanation:

2x+6y=-6 equation1

4x-3y=-12 equation2

multiply equation2 by 2

2[ 4x-3y=-12]

8x - 6y = -24 equation3

add equations 1 & 3

2x+6y=-6

8x - 6y = -24

--------------------

10x = -30

x = -3

substitute x = -3 to any of the equations

I will use equation1

2x+6y=-6

2(-3) + 6y = -6

-6 + 6y = -6

6y = 0

y = 0

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A.
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B.
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C.
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Answers

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During a clothing store’s Bargain Days, the regular price for T-shirts is discounted by $5. There is a state sales tax of 5%, and the $5 discount is applied before the sales tax is calculated.a. Write an expression that shows the regular price r of a T-shirt minus the $5 discount.

b. Write a rule for the function p(r) that expresses the final price p of a T-shirt with the discount applied and sales tax added.

c. How much would you pay during Bargain Days for a shirt regularly priced at $15.50?

Answers

Answer:

Let the regular price of the t shirt be = r

Let the total cost of the t shirt be = t

So, we can say : $t=r-5$

$p(r)=1.05(r-5)$

Substituting r = 15.50

$p(r)=1.05(15.50-5)$

=> $p(r)=1.05(10.50)$

= $11.025

a) d = r - 5 where t is the full price
b) p = ( r - 5 ) * 1.05
c) p = (15.5-5)*1.05 = 10.5 * 1.05 = $ 11.02

Solve the inequality. Graph the solution set. 3(4b – 5) < –28 + 12b

Answers

There are no solutions

Triangular numbers can be represented with equilateral triangles formed by dots. The first five triangular numbers are 1, 3, 6, 10, and 15. Is there a direct variation between a triangular number and its position in the sequence?

Answers

As observed in the given triangular numbers, 1, 3, 6, 10, and 15, the first two differ by 2. The second and the third, differ by 3. The third and fourth differ by 4 and the last two differ by 5. From this, it can be concluded that the difference between the triangular numbers from an arithmetic sequence with 2 as the first term and common difference of 1.

No, the triangular numbers are not a direct variation. There is not a constant of variation between a number and its position in the sequence. The ratios of the numbers to their positions are not equal. Also, the points (1, 1), (2, 3), (3, 6), and so on, do not lie on a line.

In a group of 55 people, 33 are coffee drinkers and 12 are tea drinkers. Assuming that no one in this group drinks both tea and coffee, what is the probability that a person picked at random from the group does not drink tea or coffee?

Answers

12+33=45. 45/55 people drink tea or coffee. This means if you picked someone randomly there would be a 45/55 chance that they drink tea or coffee. This means there is a 10/55 chance of someone who drinks neither. We can simplify this to 2/11.

Answer:

D. 2/11

Step-by-step explanation:

For all Plato users.

Factor using ac-method and factor completely, 25x²-30x--40 (help)