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Jlenok [28]
3 years ago
14

Solve 4x + 1 = 3 – 2x

Mathematics
2 answers:
romanna [79]3 years ago
7 0

Answer:

x = 1/3

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

4x + 1 = 3 - 2x

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Add 2x on both sides:                    6x + 1 = 3
  2. Subtract 1 on both sides:                6x = 2
  3. Divide 6 on both sides:                   x = 1/3

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    4(1/3) + 1 = 3 - 2(1/3)
  2. Multiply:                        4/3 + 1 = 3 - 2/3
  3. Add/Subtract:               7/3 = 7/3

Here we see that 7/3 does indeed equal 7/3.

∴ x = 1/3 is a solution of the equation.

DiKsa [7]3 years ago
3 0

Answer:

x=1/3

Step-by-step explanation:

4x+1=3-2x

Add 2x to both sides

6x+1=3

Subtract 1 on both sides

6x=2

x=2/6

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Sedaia [141]

Given:

length of rectangle = 4 units

Height of rectangle = 2x + 6 units

To find:

Not given, so I will find area and perimeter of rectangle. If you want the length of the diagonal of the rectangle, please ask me.

Steps:

Perimeter of rectangle = 2(L + B)

                                      = 2( 4 + 2x + 6 )

                                      = 2( 10 + 2x )

                                      = 2 * 10 + 2 * 2x

                                      = 20 + 4x units

Area of rectangle = L * B

                             = 4 * (2x + 6)

                             = 4 * 2x + 4 * 6

                             = 8x + 24 units²

Therefore, the perimeter of the rectangle is 20 + 4x units, and the area of the rectangle is 8x + 24 units².

Happy to help :)

If you need any help, feel free to ask.

4 0
3 years ago
Read 2 more answers
A delivery man can deliver 105 packages in 2 hours. If he continues at this rate, how many packages can the delivery man deliver
murzikaleks [220]

Answer: 420

Step-by-step explanation:

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3 years ago
What are the 2 inequalities for the following word problem? A bee keeper wants to build a rectangular habitat for her bees. The
Elina [12.6K]
Two inequalities:
x > 5 (should be greater than 5 feet)
x < 30 (should be smaller than 30 feet)
One compound inequality: (more convenient inequality)
5 < x < 30

5 0
4 years ago
Find the value of x.<br> 30 <br> 17
Murljashka [212]

Answer:

x= 63.4°

(the 4th option)

Step-by-step explanation:

Its a right angle triangle, with its opposite and adjacent values given so tan is used.

6 0
3 years ago
2.
Iteru [2.4K]

answer:

x = 0.80

y = 1.50

step-by-step explanation:

x = cost of tacos

y = cost of burritos

both equations:

3x + 2y = 5.40

2x + 1y = 3.10

             ^

turn this | into this |

                             v

               y = 3.10 - 2x

then add it to the equation :

3x + 2 [ 3.10 - 2x ] = 5.40

3x + 6.2 - 4x = 5.40

-1x = - 0.8

x= 0.80

then add x = 0.80 to the equations to get :

3 [ 0.80 ] + 2y = 5.40

2.4 + 2y = 5.40

2y = 3

y = 1.5

5 0
3 years ago
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