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2 years ago

The system equations 2y=14-2x and y=-x+7

Mathematics

1 answer:

Artemon [7]2 years ago

6 0

Answer:

Hey there!

When we are given what one of our variables is equal to, we can easily solve the system of equations via substitution, which is where we take the variable value, plug it into the other equation, and solve for the other variable.

In this case, we just take our value for y and plug it in for the value for y in the first equation and solve for x.

2(-x+7)=14-2x

-2x+14=14-2x

-2x=-2x

x=x

As we can see, there are infinitely many solutions to this first equation, which means that there is no possible way to solve for y because x has infinitely many solutions, so there are infinitely many solutions to this system of equations, because they are both the same line.

I hope this helps! :D

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Hey can you please help me posted picture of question

shepuryov [24]

The correct answer is option C.

The solution is shown below:

(8 - 3i)(6 + 5i)

= 8(6 +5i) - 3i(6 + 5i)

= 48 + 40i - 18i - 15i²

= 22i + 48 - 15(-1)

= 22i + 48 + 15

= 22i + 63

= 63 + 22i

6 0

2 years ago

Five out of ten bags of candy had exactly 30 pieces in them. How many bags out of 40 should have exactly 30 pieces?

mylen [45]

Answer:

20 bags should have 30 pieces in them.

Step-by-step explanation:

five out of ten is 1/2

then 1/2 of 40 is 20

therefore there should be twenty bags with 30 pices each.

3 0

3 years ago

Answer fast its sue by end of class

shtirl [24]

Step-by-step explanation:

question 1. Solve the equation 8-7/10 c = 6 - 1/5c for c

8 - 7/10c = 6 - 1/5c

subtract 8 from both sides:

8 - 7/10c - 8 = 6 - 1/5c - 8

- 7/10c = -2 - 1/5c

add 1/5c to both sides:

- 7/10c + 1/5c = -2 - 1/5c + 1/5c

- 7/10c + 1/5c = -2

change to common denominator:

- 7/10c+ 2/10c = -2

- 5/10c = -2

-1/2c = -2

multiply both sides by -2:

- 1/2c(-2) = -2(-2)

c = 4

___________________________________

question 2. 75 - 3.5y - 4y = 4y + 6 for y

75 - 3.5y - 4y = 4y + 6

75 - 7.5y = 4y + 6

add 7.5y to both sides:

75 - 7.5y + 7.5y = 4y + 6 + 7.5y

75 = 11.5y + 6

subtract 6 from both sides:

75 - 6 = 11.5y + 6 - 6

69 = 11.5y

divide both sides by 11.5:

69/11.5 = 11.5y/11.5

y = 6

___________________________________

Question 3. Solve the equation 16.5 + 2.75h = 9h + 7.5 − 4.25h for h.

16.5 + 2.75h = 9h + 7.5 − 4.25h

16.5 + 2.75h = 4.75h + 7.5

subtract 7.5 from both sides:

16.5 + 2.75h - 7.5 = 4.75h + 7.5 - 7.5

9 + 2.75h = 4.75h

subtract 2.75h from both sides:

9 + 2.75h - 2.75h = 4.75h - 2.75h

9 = 2h

divide both sides by 2:

9/2 = 2h/2

h = 9/2

6 0

10 months ago

What is the multiplicative rate of change of the<br> function?

BartSMP [9]

Answer:

We know that the multiplicative rate of change of a function is the number by which each next term of an exponential function is increasing or decreasing. We can find multiplicative rate of change by dividing any term of the function by its previous term.

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2 years ago

Can any body help my son with this is very important please some body help him in tanks very much I hope some body help me

riadik2000 [5.3K]

The top box on the page explains the idea completely.
You need to read the top box several times, and understand it.
A ratio is a comparison of two quantities by division.

1). Days in May: 31
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2). Sides of a triangle: 3
   Sides of a square: 4
   Their ratio: 3/4 .

The middle box explains how two ratios can be equal,
and it gives you a very detailed example. You should
read the middle box and understand it.
Ratios are fractions. They can be equal in just the same
way that any two fractions can be equal.
And you can simplify ratios in exactly the same way that
you simplify fractions ... divide top and bottom both by
the same number.

3). 8/12   Cook up three equal ratios.
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4). 20/25 Cook up three equal ratios.
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5). 5/6 Cook up three equal ratios.
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6).   10/14 Cook up three equal ratios.
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   2. multiply top and bottom by 2 . . . .
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5 0

3 years ago