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3 years ago

Algebra- Find the value of X

Mathematics

2 answers:

Inessa05 [86]3 years ago

6 0

Answer:

x =4.5

Step-by-step explanation:

this is an isosceles triangle

the legs are equal

4x + 6 = 6x - 3

subtract 6 from both sides

4x +6 - 6 =6x - 3 - 6

4x = 6x - 9

subtract 6x from both sides

4x -6x = 6x - 6x -9

-2x = -9

divide both sides by -2

-2x /-2= -9/-2

x =4.5

Alex Ar [27]3 years ago

5 0

Answer:

x=4.5

Step-by-step explanation:

To find the value of x, you need to isolate to solve 4x+6=6x-3.

First, subtract 6 from both sides.

4x+6-6=6x-3-6

Then, you simplify.

3-6=-9

4x=6x-9

Next, subtract 6x from both sides.

4x-6x=6x-6x-9

Simplify.

-2x=-9

Also, divide -2 from both sides.

-2x/-2=-9/-2

Finally, simplify to find the answer.

-9/-2=4.5

x=4.5, which is our answer.

Hope this helps!

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What is the value of n in the equation 1/2(n – 4) – 3 = 3 – (2n + 3)?

Travka [436]

Distribute 1/2 to (n – 4):

 $\frac{1}{2} \times n = \frac{1}{2}n$
$\frac{1}{2} \times -4 = -2$

Subtract (2n + 3):

 $- (2n + 3) = -2n -3$

Your equation should now look like this:

 $\frac{1}{2}n - 2 - 3 = 3 - 2n - 3$

Combine like terms on both sides:

 $-2 - 3 = -5$
$3 - 3 = 0$
$\frac{1}{2}n - 5 = -2n$

Subtract 1/2n from both sides:

 $-5 = -\frac{5}{2}n$

Divide both sides by -5/2 to get n by itself:

 $n = 2$

The value of n is 2.

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3 years ago

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Mrs.Smith has two similiar recycling bins in her office. The dimension of the smaller bin can be found by dilating the dimension

nikklg [1K]

Answer:

The dimension of the larger bin is x and the smaller bin is $0.75x$ .

Step-by-step explanation:

Let the dimension of the larger bin is x.

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In order to find the dimension of the smaller bin multiply the dimension of the larger bin by 0.75

$(x)(0.75)=0.75x$

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3 years ago

Solve the following systems of equations by substitution method.

Anuta_ua [19.1K]

Answer:

1) x = 3 and y = -2

2) x = 2 and y = 1

3) x = -2 and y = -1

4) x = 3 and y = 2

5) x = 2

6) x = 2 and y = -3

7) x = 4 and y = 3

8) x = -3 and y = -6

Step-by-step explanation:

1. Answer :

y = -2

4x - 3y = 18 ----(1)

Substitute y = -2 in (1).

4x - 3(-2) = 18

4x + 6 = 18

Subtract 6 from both sides.

4x = 12

Divide both sides by 4.

x = 3

So,

x = 3 and y = -2

2. Answer :

y = 6x - 11 ----(1)

2x + 3y = 7 ----(2)

Substitute y = 6x - 11 in (2).

2x + 3(6x - 11) = 7

2x + 18x - 33 = 7

20x - 33 = 7

Add 33 to both sides.

20x = 40

Divide both sides by 20.

x = 2

Substitute x = 2 in (1).

y = 6(2) - 11

= 12 - 11

= 1

So,

x = 2 and y = 1

3. Answer :

x = -3y - 5 ----(1)

4x - 5y = -3 ----(2)

Substitute x = -3y + 5 in (2).

4(-3y - 5) - 5y = -3

-12y - 20 - 5y = -3

-17y - 20 = -3

Add 20 to both sides.

17y = -17

Divide both sides by 17.

y = -1

Substitute y = -1 in (1).

x = -3(-1) - 5

= 3 - 5

= -2

So,

x = -2 and y = -1

4. Answer :

x = 5y - 7 ----(1)

-2x - 3y = -12 ----(2)

Substitute x = 5y - 7 in (2).

-2(5y - 7) - 3y = -12

-10y + 14 - 3y = -12

-13y + 14 = -12

Subtract 14 from both sides.

-13y = -26

Divide both sides by -13.

y = 2

Substitute y = 2 in (1).

x = 5(2) - 7

= 10 - 7

= 3

So,

x = 3 and y = 2

5. Answer :

5x + 3y - 8 = 0 ----(1)

2x - 3y - 6 = 0 ----(2)

Solve for 3y in (1).

5x + 3y - 8 = 0

Subtract 5x from both sides.

3y - 8 = -5x

Add 8 to both sides.

3y = -5x + 8

Substitute 3y = -5x + 8 in (2).

2x - (-5x + 8) - 6 = 0

2x + 5x - 8 - 6 = 0

7x - 14 = 0

Add 14 to both sides.

7x = 14

Divide both sides by 7.

x = 2

6. Answer :

x - 3y - 11 = 0 ----(1)

5x + y - 7 = 0 ----(2)

Solve for x in (1).

x - 3y - 11 = 0

Subtract 3y and 11 to both sides.

x = 3y + 11 ----(3)

Substitute x = 3y + 11 in (2).

5(3y + 11) + y - 7 = 0

15y + 55 + y - 7 = 0

16y + 48 = 0

Subtract 48 from both sides.

16y = -48

Divide both sides by 16.

y = -3

Substitute y = -3 in (3).

x = 3(-3) + 11

= -9 + 11

= 2

So,

x = 2 and y = -3

7. Answer :

2x - 3y = -1 ----(1)

y = x - 1 ----(2)

Substitute y = x - 1 in (1).

2x - 3(x - 1) = -1

2x - 3x + 3 = -1

-x + 3 = -1

Subtract 3 from both sides.

-x = -4

Multiply both sides by -1.

x = 4

Substitute x = x in (3).

y = 4 - 1

= 3

So,

x = 4 and y = 3

8. Answer :

-4x + y = 6 ----(1)

-5x - y = 21 ----(2)

Solve for y in (1).

-4x + y = 6

Add 4x to both sides.

y = 4x + 6 ----(3)

Substitute y = 4x + 6 in (2).

-5x - (4x + 6) = 21

-5x - 4x - 6 = 21

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Add 6 to both sides.

-9x = 27

Divide both sides by -9.

x = -3

Substitute x = -3 in (3).

y = 4(-3) + 6

= -12 + 6

= -6

So,

x = -3 and y = -6

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Answered by: ms115

6 0

3 years ago

Read 2 more answers

Ten pieces of paper numbered consecutively from 1 to 10 are put into a hat. if three pieces of paper are drawn at random from th

DaniilM [7]

There are 5 even numbers from 1 to 10.

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Therefore the probability is 10/128 = 5/64 or roughly 7.81%

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3 years ago

Need help with this question

dybincka [34]

Download a math calculator or math awnsers

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3 years ago

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