Selasa, 26 April 2022

Which Of The Following Linear Equations Has The Steepest Slope


Which Of The Following Linear Equations Has The Steepest Slope

using the graph order the lines from the steepest slope to the least steep slope

Daftar Isi

1. using the graph order the lines from the steepest slope to the least steep slope


Jawaban:

menggunakan grafik mengurutkan garis dari kemiringan paling curam ke kemiringan paling tidak curam

Jawaban:

menggunakan grafik untuk mengurutkan garis dari kemiringan yang paling curam ke kemiringan yang paling tidak curam

2. Solve the following linear different equations ​


Jawaban:

Penjelasan dengan langkah-langkah:

check it bro!!!!!!


3. Find the solution of the following linear equations system: 2x+3y=20 and7x+2y=53 *​


2x+3y= 20.......(1)
7x+2y= 53.......(2)

we multiply (1) by 2 and (2) by 3,
4x+6y= 40.......(1)
21x+6y= 159......(2)

we substract (1) and (2)
4x-21x= 40-159
-17x= -119
x= 7

we substitute x= 7 to (1)
4(7)+6y= 40
28+6y= 40
6y= 40-28
6y= 12
y= 2

so, the solution is:
x= 7
y= 2

4. Solve the following equations.a. |2x-3|=3​


Penjelasan dengan langkah-langkah:

semoga dapat membantu


5. solve the following equations​


Jawab:

Penjelasan dengan langkah-langkah:


6. solve the following equations 4x^2=25


4x² = 25
x² = 25/4
x² - 25/4 = 0
(x + 5/2)(x - 5/2) = 0

x + 5/2 = 0
x = -5/2

x - 5/2 = 0
x = 5/2

x = -5/2 and x = 5/2

7. Calculate the value of p and of q that satisfy the following simultaneous equations:2p-3q=134p+q=5​


sekiranya begitu, maaf kalau salah

smg bisa membantu ya walau berantakan :)

8. 1. Solve the following equations |3x + 11 = 10.​


Jawab:

3x + 11 = 10

3x = 10 + (-11)

3x = - 1

x = - 3


9. solve the following equations |2x-3|=3​


Jawab:

|2x-3| = 3

2x-3 = 3

2x = 3 + 3

2x = 6

x = 6/2

x = 3

atau

-|2x-3| = 3

-(2x-3) = 3

-2x + 3 = 3

-2x = 3 - 3

-2x = 0

x = 0/-2

x = 0

maaf kalau salah :")


10. balance the following equations : N2O5 -> N2O4 + O2


N2O5 -> N2O4 + O2
= N2O5 -> N2O4 + 1/2 O2
= 2 N2O5 -> 2 N2O4 + O2

11. find the solution to the system of linear equations x+y=6 dan 2x-y=0


Jawaban:

x+y=6

2x-y=0

_____+

3x =6

x =6/3

x =2

x+y=6

2+y=6

y=6-2

y=4

hp {(x,y)}={(2,4)}


12. Use the substitution method to solve the following pairs of simultaneous linear equations 3 x + 7 y = 4 2 x + y = - 1​


2x + y = -1

y = -1-2x

3x + 7y = 4

3x + 7(-1-2x)=4

3x-7-14x = 4

-11x = 11

x = -1

2x + y =-1

-2 + y = -1

y = 1

x = -1 ; y=1


13. Solve each of the following pairs of simultaneous equations. a) 2x+y= 5 x + y² = 5


Since the question is in English, i'll answer in English too.

2x+y=5 ....(1)

x+y²=5 .....(2)

modified the 2 equation

x+y²=5

x=5-y² .... (3)

subtitute (3) to (1)

2(5-y²)+y=5

10-2y²+y=5

-2y²+y+5=0

2y²-y-5=0

using Quadratic Formula, we get the roots of the quadratic equation are :

-(-1)±√((-1)²-4.2.(-5))/2(2) =

1±√1+40/4 =

1±√41/4 = 1+√41/4 or 1-√41/4

thus, enter each of y value to (1) to get the value of x.

2x+1+√41/4=5

2x=5- (1+√41)/4

2x=19+√41/4

x=19+√41/8

same to the other roots, we get

2x+1-√41/4=5

2x=5-(1-√41)/4

x=19-√41/8

Hence, the solutions are

((19+√41)/8 ; (1+√41)/4) and ((19-√41/8);(1-√41)/4)

Happy to help <3


14. Use the substitution method to solve the following pairs of simultaneous linear equations a.) 5 x + 2 y = - 1 x - 3 y = -7​


~SPLDV

5x + 2y = -1 .......... 1)

x - 3y = -7 → x = 3y - 7 ...... 2)

Substitute The sec . Eq to The First Eq :

        5x + 2y = -1

15y - 35 + 2y = -1

               17y = 34

                  y = 2

With the same way , substitute the Value of 'y' to the sec . eq :

so we get  ...

x = 3y - 7

x = -1

SC = {-1 , 2}


15. Solve each of the following equations 2(x+3)=8


Semoga terbantu.....:)Kelas 7 Matematika
Bab Persamaan Linear

2 (x + 3) = 8
x + 3 = 8/2
x = 4 - 3
x = 1

16. factorise and solve each of the following equations. 10x² - 5x - 5 = 0


Penjelasan dengan langkah-langkah:

penyelesaiannya

x =-1/2 atau x = 1

Jawab:

x = -1/2 atau x = 1

Penjelasan dengan langkah-langkah:

10x² - 5x - 5 = 0 (bagi kedua ruas dengan 5)

2x² - x - 1 = 0

(2x + 1)(x - 1) = 0

maka 2x + 1 = 0 atau x - 1 = 0

Jika 2x + 1 = 0, maka 2x = -1,  x = -1/2

Jika x - 1 = 0 maka x = 1

Jadi, x = -1/2 atau x = 1


17. Solve each of the following equations. a. (3x + 2)(4x - 5)​


Jawaban:

12x² - 23x + 10

Penjelasan dengan langkah-langkah:

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

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

= 12x² - 15x - 8x + 10

= 12x² - 23x + 10


18. solve the unknown from the following equations:1. D + 19 = 100


D + 19 =100
D = 100-19 = 81

19. using the graphical method, solve each of the following pairs of simultaneous equations: a. 3x-y = 0 2x-y =1


3x-y=0
2x-y=1

Elimination.                       Subtitution
(3x-y = 0 - 2x-y = 0)          2x-y = 1
=  x = -1                          = 2(-1)-y = 1
                                       = y = 1 - (- 2)
                                       y = 3
so, x = -1, y = 3

20. Use the substitution method to solve the following pairs of simultaneous linear equations A)5X + 2y = -1 X - 3y = -7


~SPLDV

5x + 2y = -1 .......... 1)

x - 3y = -7 → x = 3y - 7 ...... 2)

Substitute The sec . Eq to The First Eq :

        5x + 2y = -1

15y - 35 + 2y = -1

               17y = 34

                  y = 2

With the same way , substitute the Value of 'y' to the sec . eq :

so we get  ...

x = 3y - 7

x = -1

SC = {-1 , 2}


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