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laiz [17]
2 years ago
6

Solve the equation.

Mathematics
2 answers:
soldi70 [24.7K]2 years ago
8 0

Answer:

x=5

Step-by-step explanation:

Subtract

2

x

from both sides of the equation.

24

−

3

x

−

2

x

=

−

1

Subtract

2

x

from

−

3

x

.

24

−

5

x

=

−

1

Move all terms not containing

x

to the right side of the equation.

Subtract

24

from both sides of the equation.

−

5

x

=

−

1

−

24

Subtract

24

from

−

1

.

−

5

x

=

−

25

Divide each term in

−

5

x

=

−

25

by

−

5

and simplify.

Divide each term in

−

5

x

=

−

25

by

−

5

.

−

5

x

−

5

=

−

25

−

5

Simplify the left side.

Cancel the common factor of

−

5

.

Cancel the common factor.

−

5

x

−

5

=

−

25

−

5

Divide

x

by

1

.

x

=

−

25

−

5

Simplify the right side.

Divide

−

25

by

−

5

.

x

=

5

hoa [83]2 years ago
5 0

Answer:

5

Step-by-step explanation:

1) 24 - 3x = 2x - 1   Normal equation

2) 24 - 5x = -1         Subtracted  2x from the side

3) -5x = -25    Subtracted 24 from side

4) x = 5     Divided

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Ill give you Brainlyest! I need help ASAP work shown, please!!<br> problems 8-15
8_murik_8 [283]

Using the segment addition theorem, the solutions are:

5. x = 17

6. x = 7

7. x = 14

BC = 27

CD = 61

BD = 88

8. AB = 26

9. LJ = 46

10. x = 3

11. FG = 15

12. QS = 34

13. BC = 26

14. EG = 19

15. QS = 68

<h3>How to Apply the Segment Addition Theorem?</h3>

The segment addition theorem would be used to solve the problems as shown below:

5. UW = UV + VW [segment addition theorem]

Substitute

6x - 35 = 19 + 4x - 20

6x - 4x = 35 + 19 - 20

2x = 34

x = 17

6. HJ = HI + IJ [segment addition theorem]

Substitute

7x - 27 = 3x - 5 + x - 1

7x - 3x - x = 27 - 5 - 1

3x = 21

x = 7

7. BD = BC + CD [segment addition theorem]

Substitute

7x - 10 = 4x - 29 + 5x - 9

7x - 4x - 5x = 10 - 29 - 9

-2x = -28

x = 14

BC = 4x - 29 = 4(14) - 29 = 27

CD = 5x - 9 = 5(14) - 9 = 61

BD = 7x - 10 = 7(14) - 10 = 88

8. BC = BD

Substitute

2x + 1 = 5x - 26

2x - 5x = -1 - 26

-3x = -27

x = 9

AB = 43 - BC

AB = 43 - 2x + 1 = 43 - 2(9) + 1 = 26

9. 7x - 10 = 9x - 11 - (x + 3)

7x - 10 = 9x - 11 - x - 3

7x - 9x + x = 10 - 11 - 3

-x = -4

x = 4

LJ = 28 + 7x - 10 = 28 + 7(4) - 10

LJ = 46

10. 8x + 11 = 12x - 1

8x - 12x = -11 - 1

-4x = -12

x = 3

11. 11x - 7 = 3x + 9

11x - 3x = 7 + 9

8x = 16

x = 2

FG = 11x - 7 = 11(2) - 7

FG = 15

12. 5x - 3 = 21 - x

5x + x = 21 + 3

6x = 24

x = 4

QS = 2(5x - 3) = 10x - 6 = 10(4) - 6

QS = 34

13. 8x - 20 = 2(3x - 1)

8x - 20 = 6x - 2

8x - 6x = 20 - 2

2x = 18

x = 9

BC = AB = 3x - 1 = 3(9) - 1

BC = 26

14. 5x - 1 = 7x - 13

5x - 7x = 1 - 13

-2x = -12

x = 6

EG = 6x - 4 - 13 = 6(6) - 4 - 13

EG = 19

15. RT - ST = RS

Substitute

8x - 43 - (4x - 1) = 2x - 4

8x - 43 - 4x + 1 = 2x - 4

4x - 42 = 2x - 4

4x - 2x = 42 - 4

2x = 38

x = 19

QS = 2(RS)

QS = 2(2x - 4) = 4x - 8 = 4(19) - 8

QS = 68

Learn more about the segment addition theorem on:

brainly.com/question/28263183

#SPJ1

8 0
1 year ago
What is 3/4y=7/8 answer for what is y
ANTONII [103]

y = 7/6.....................

5 0
2 years ago
Can someone plz help with 5, 6 and 7
juin [17]

Answer:

750 people will come in at 15 hours.

Step-by-step explanation:

350 divided by 7=50       50 times 15=750

sorry i don't know  the rest

8 0
3 years ago
Read 2 more answers
Algebra 1 CR-8
antiseptic1488 [7]

\mathrm{Domain\:of\:}\:x^2+2x-15\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

\mathrm{Range\:of\:}x^2+2x-15:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:-16\:\\ \:\mathrm{Interval\:Notation:}&\:[-16,\:\infty \:)\end{bmatrix}

\mathrm{Axis\:interception\:points\:of}\:x^2+2x-15:\quad \mathrm{X\:Intercepts}:\:\left(3,\:0\right),\:\left(-5,\:0\right),\:\mathrm{Y\:Intercepts}:\:\left(0,\:-15\right)

\mathrm{Vertex\:of}\:x^2+2x-15:\quad \mathrm{Minimum}\space\left(-1,\:-16\right)

4 0
2 years ago
What is the vertex for the following quadratic? f(x)=2(x - 4)^2 -8
Ghella [55]

Answer:

vertex = (4, - 8 )

Step-by-step explanation:

The equation of a quadratic in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

f(x) = (x - 4)² - 8 ← is in vertex form

with (h, k ) = (4, - 8 ) ← coordinates of vertex

6 0
3 years ago
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