Mathematics : asked on brie7396
 22.05.2022

Solve for x: -3x +10 = 31

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Step-by-step answer

24.06.2023, solved by verified expert

Faq

Mathematics
Step-by-step answer
P Answered by PhD
x = -7

Explanation:
-3x * -7 = 21
21 + 10 = 31
Mathematics
Step-by-step answer
P Answered by PhD
Hello!

The answers are:

1  x=-20

2  x=-9

3 x=-5 

4  r=-2

5  x=-4.5

Why?

To know the solution of the problems, we need to isolate each variable.

Remember that:

- If we have an equality: if the number is subtracting (negative sign), and if you need to move it to the other side of the equality, its sign changes to positive.

- If we have an equality: if the number is adding (positive sign), and if you need to move it to the other side of the equality, its sign changes to negative.

- If we have  an equality:  if the number is part of a product , and if you need to move it to the other side of the equality, the same number will be dividing the factors of the side. On the opposite, if the number is dividing, it will be multiplying on the other side of the equality.

So,

1 - Solving for "x"

\frac{4}{5}x=-16\\x=\frac{-16}{\frac{4}{5} }=-16*\frac{5}{4}=-20\\x=-20

2 - Solving for "x"

-3x+4=31\\-3x=31-4=27\\x=\frac{27}{-3}=-9

3 - Solving for "x"

2x+(-12)=-22\\2x-12=-22\\2x=-22+12=-10\\\\2x=-10\\x=\frac{-10}{2}=-5

4  - Finding the solution

25=15-5r\\25-15=-5r\\-5r=10\\r=\frac{10}{-5}=-2

5 - Finding the solution

12.5+5x=-10\\5x=-10-12.5=-22.5\\5x=-22.5\\x=\frac{-22.5}{5}=-4.5

Have a nice day!

Mathematics
Step-by-step answer
P Answered by PhD
Hello!

The answers are:

1  x=-20

2  x=-9

3 x=-5 

4  r=-2

5  x=-4.5

Why?

To know the solution of the problems, we need to isolate each variable.

Remember that:

- If we have an equality: if the number is subtracting (negative sign), and if you need to move it to the other side of the equality, its sign changes to positive.

- If we have an equality: if the number is adding (positive sign), and if you need to move it to the other side of the equality, its sign changes to negative.

- If we have  an equality:  if the number is part of a product , and if you need to move it to the other side of the equality, the same number will be dividing the factors of the side. On the opposite, if the number is dividing, it will be multiplying on the other side of the equality.

So,

1 - Solving for "x"

\frac{4}{5}x=-16\\x=\frac{-16}{\frac{4}{5} }=-16*\frac{5}{4}=-20\\x=-20

2 - Solving for "x"

-3x+4=31\\-3x=31-4=27\\x=\frac{27}{-3}=-9

3 - Solving for "x"

2x+(-12)=-22\\2x-12=-22\\2x=-22+12=-10\\\\2x=-10\\x=\frac{-10}{2}=-5

4  - Finding the solution

25=15-5r\\25-15=-5r\\-5r=10\\r=\frac{10}{-5}=-2

5 - Finding the solution

12.5+5x=-10\\5x=-10-12.5=-22.5\\5x=-22.5\\x=\frac{-22.5}{5}=-4.5

Have a nice day!

Mathematics
Step-by-step answer
P Answered by PhD

1)-9

2)16

3)-2

Step-by-step explanation:

1)

-3x + 4 = 31

-3x = 31 - 4

-3x = 27

-x = 27/3

-x = 9

x = -9

2)

2x + -10 = 22

2x = 22 + 10

2x = 32

x = 32/2

x = 16

3)

40 = 32 – 4r

-4r = 40 - 32

-4r = 8

-r = 8/4

-r = 2

r = -2

Mathematics
Step-by-step answer
P Answered by PhD

B. 11x^2 − x + 10

Step-by-step explanation:

(5x^2 + 2x + 1) + (6x^2 − 3x + 9)

I like to line them up vertically

  (5x^2 + 2x + 1)

+ (6x^2 − 3x + 9)

11 x^2  -  x   + 10

Mathematics
Step-by-step answer
P Answered by PhD

B. 11x^2 − x + 10

Step-by-step explanation:

(5x^2 + 2x + 1) + (6x^2 − 3x + 9)

I like to line them up vertically

  (5x^2 + 2x + 1)

+ (6x^2 − 3x + 9)

11 x^2  -  x   + 10

StudenGPT
Step-by-step answer
P Answered by Studen AI
The system of inequalities represented by the graph is:

y ≥ 3x + 6 (represented by the line passing through the points (0, 6) and (-2, 0) with shaded region above the line)

y < -x - 6 (represented by the line passing through the points (0, -6) and (-6, 0) with shaded region below the line)

So, the correct answer is:

y ≥ 3x + 6 (Option D)
StudenGPT
Step-by-step answer
P Answered by Studen AI
The system of inequalities represented by the graph is:

y ≥ 3x + 6 (represented by the line passing through the points (0, 6) and (-2, 0) with shaded region above the line)

y < -x - 6 (represented by the line passing through the points (0, -6) and (-6, 0) with shaded region below the line)

So, the correct answer is:

y ≥ 3x + 6 (Option D)
Mathematics
Step-by-step answer
P Answered by Master
1. x/-3=-15
x=45

2. -7+3(-12)÷-3
-7+12
5

3. f(-4)=(-4)²-(-4)
f(-4)=16-(-4)
f(-4)=20

4. x-9=17

5. 2x+3=35

6. -8-12-(-20)
-20-(-20)
0

7. -2(-3)²(-1)
-2(9)(-1)
-18(-1)
18

8. x-(-2)

9. subtract 7 then divide by -2

10. 6+(-18)+(-13)+9
-12-4
-16

11. 5x=11

12. division property

13. -3³ = -27

14. x/2-3=7
x/2=10
x=20

15. 2x-5=15

16. x/-4-(-8)=12
x/-4=4
x=-16

17. 168

18. 16-20-(-8)-9
-4-(-8)-9
4-9
-5 

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