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skelet666 [1.2K]
3 years ago
15

Solve the system of equations by substitution.

Mathematics
1 answer:
mojhsa [17]3 years ago
6 0

Answer:

6 = −4x + y

−5x − y = 21  

Answer:  (-3, -6)


2x + y = 20 6x – 5y = 12  

Answer:

(7 , 6)


Step-by-step explanation:

Solve the system of equations by substitution.

6 = −4x + y --> y = 4x + 6

−5x − y = 21

Substitute y = 4x + 6 into −5x − y = 21

−5x − (4x + 6) = 21

-5x - 4x - 6 = 21

-9x = 27

  x = - 3

y = 4(-3) + 6

y = -12 + 6

y = -6

(-3, -6)


Solve the system by the elimination method.

2x + y = 20

multiply the equation by (-3) ; 2x + y = 20  so

-6x - 3y = - 60

6x – 5y = 12

------------------add

-8y = - 48

  y = 6

2x + y = 20

2x + 6 = 20

2x = 14

 x = 7

(7 , 6)

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Alisiya [41]

Answer:

The number is 5.

Step-by-step explanation:

Call the number n. Write the problem as an equation:

\frac{7+n}{8-n}=4\\7+n=(8-n)4=32-4n\\5n = 25\\n=5

The number is 5.

3 0
3 years ago
the sum of the measure of the interior angle of a convex polygon is 1080 find the number of sides of each polygon
pogonyaev

Answer:

8

Step-by-step explanation:

The formula to calculate the sum of interior angles of polygon is (n - 2)180

Where n represents number of sides

(n-2)180 = 1080 ------ Divide through by 180

(n-2)180/180 = 1080/180

n-2 = 6

n = 6+2

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6 0
3 years ago
PLEASEEEEE HELPPPP MEEEEEEE BRAINLIEST TO THE FIRST ANSWER AND 30 POINTS
icang [17]

Answer:

CD ≠ EF

Step-by-step explanation:

Using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = C(- 2, 5) and (x₂, y₂ ) = D(- 1, 1)

CD = \sqrt{(-1+2)^2+(1-5)^2}

      = \sqrt{1^2+(-4)^2}

      = \sqrt{1+16} = \sqrt{17}

Repeat using (x₁, y₁ ) = E(- 4, - 3) and (x₂, y₂ ) = F(- 1, - 1)

EF = \sqrt{(- 1+4)^2+(-1+3)^2}

     = \sqrt{3^2+2^2}

     = \sqrt{9+4} = \sqrt{13}

Since \sqrt{17} ≈ \sqrt{13} , then CD and EF are not congruent

     

6 0
3 years ago
A number pattern starts with 10 and follows the rule multiply by 3 What is true
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Answer:

B) They have a 0 in the ones place.

Step-by-step explanation:

Given

Number pattern that starts with 10.

Rule: Multiply by 3

Required

Select which statement is truth of the pattern.

First, the pattern needs to be listed out.

Given that the pattern starts from 10 and progresses by multiplying current term by 3.

The pattern is as follows;

10, 30, 90, 270, 810, 2430, 7290, .....

By comparing the given options with the above pattern of numbers. We have:

A) They are odd numbers.

This statement is false because the above pattern of numbers are all even and can never be odd

B) They have a 0 in the ones place.

This statement is truth because all the numbers in the above progression ends in 0. This 0 represents the unit of one's place.

Hence, this statement is truth.

C) They have a 3 in the tens place.

This statement is false;

This is so because they have different digits at tens place. The tens place is the digit prior to the last digit of each number.

D) They can be odd or ever numbers.

As pointed out in (A) above, the number can only be even number because the progression starts with an even number (10) and irrespective of what it's been multiplied by, it'll always remain an even number.

Hence,

Only option B is correct/truth.

Others are incorrect

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3 years ago
4 3/10 divided by 3/5
inysia [295]

Answer:

7.16

Step-by-step explanation:

5 0
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