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BlackZzzverrR [31]
3 years ago
9

Simplify the following algebraic expression: 2 (2x + 3y) + 3 (5 – 2x) +1+y

Mathematics
1 answer:
Gnoma [55]3 years ago
5 0

Answer: -2x+7y+16

Step-by-step explanation:

1. Distribute 2 through the parentheses

  • 4x+6y+3(5-2x)+1+y              
  • 4x+6y+15-6x+1+y

2. Collect like terms

  • -2x+6y+15+1+y  
  • -2x+7y+15+1
  • -2x+7y+16

3. Solution, -2x+7y+16

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Write an equation of the line.<br><br><br><br> y = _____<br><br><br><br> Use x as your variable.
muminat

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y= -2x+15

Step-by-step explanation:

5 0
3 years ago
Find an equation of the line that satisfies the given conditions.<br> Through (-3, -4); slope -5/2
Wittaler [7]

Answer:

y = - 5/2x - 23/2

Step-by-step explanation:

b = y - (slope)(x)

b = -4 - (-5/2)(-3)

b = -4 - 15/2 = - 23/2

y = -5/2x - 23/2

3 0
3 years ago
-| x-4| + 2 = -2x + 7
astraxan [27]

X=3

Let's solve your equation step-by-step.

−

|

x

−

4

|

+

2

=

−

2

x

+

7

Step 1: Add -2 to both sides.

−

|

x

−

4

|

+

2

+

−

2

=

−

2

x

+

7

+

−

2

−

|

x

−

4

|

=

−

2

x

+

5

Step 2: Divide both sides by -1.

−

|

x

−

4

|

−

1

=

−

2

x

+

5

−

1

|

x

−

4

|

=

2

x

−

5

Step 3: Solve Absolute Value.

|

x

−

4

|

=

2

x

−

5

We know either

x

−

4

=

2

x

−

5

or

x

−

4

=

−

(

2

x

−

5

)

x

−

4

=

2

x

−

5

(Possibility 1)

x

−

4

−

2

x

=

2

x

−

5

−

2

x

(Subtract 2x from both sides)

−

x

−

4

=

−

5

−

x

−

4

+

4

=

−

5

+

4

(Add 4 to both sides)

−

x

=

−

1

−

x

−

1

=

−

1

−

1

(Divide both sides by -1)

x

=

1

x

−

4

=

−

(

2

x

−

5

)

(Possibility 2)

x

−

4

=

−

2

x

+

5

(Simplify both sides of the equation)

x

−

4

+

2

x

=

−

2

x

+

5

+

2

x

(Add 2x to both sides)

3

x

−

4

=

5

3

x

−

4

+

4

=

5

+

4

(Add 4 to both sides)

3

x

=

9

3

x

3

=

9

3

(Divide both sides by 3)

x

=

3

Check answers. (Plug them in to make sure they work.)

x

=

1

(Doesn't work in original equation)

x

=

3

(Works in original equation)

7 0
3 years ago
What is SV?<br> T<br> 69<br> U<br> 69<br> 3x<br> x+42 V<br> s
dusya [7]


Can you make the question more clear
8 0
3 years ago
Plz Help! Ill give brainiest to whoever answers!!!
kenny6666 [7]

1. 54

2. 63.5

3. 23

4. 1.80125

7 0
3 years ago
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