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Unit 4 Linear Equations Homework 1 Slope


Unit 4 Linear Equations Homework 1 Slope

x-y=4simultaneous linear equations​

Daftar Isi

1. x-y=4simultaneous linear equations​


Langkah-langkah :

x-y=4

y=0

x-y=4

x-0=4

x=4

________

x-y=4

x=0

x-y=4

0-y=4

-y=4-0

-y=4

y=-4

________

Jawaban:

(x,y)=(4,-4)


2. Linear Equations (Persamaan Linear) 1.-2(3x-4)=4(2x+5) 2.3(3y+4)=2(2y+1) 3.2y-1,3=2,8


1).
[tex] - 2(3x - 4) = 4(2x + 5) \\ - 6x + 8 = 8x + 20 \\ - 6x - 8x = 20 - 8 \\ - 14x = 12 \\ - x = \frac{12}{14} \\ - x = \frac{6}{7} \\ x = - \frac{6}{7} [/tex]
2).
[tex]3(3y + 4) = 2(2y + 1) \\ 9y + 12 = 4y + 2 \\ 9y - 4y = 2 - 12 \\ 5y = - 10 \\ y = - 2[/tex]
3).
[tex]2y - 1.3 = 2.8 \\ 2y = 2.8 + 1.3 \\ 2y = 4.1 \\ y = \frac{4.1}{2} \\ y = 2.05[/tex]
semoga membantu

3. Solve the following linear different equations ​


Jawaban:

Penjelasan dengan langkah-langkah:

check it bro!!!!!!


4. 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)}


5. solver the following equations5(1-x)=4(10+x)​


Jawaban:

5-5x = 40+4x

-5x-4x = 40 - 5

-9x = 35

x = 35 / (-9)

= -3,888...

Penjelasan:

Semoga bermanfaat.


6. 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}


7. Mengapa slope Anggaran sama dengan slope kurva indeverent


Karena sama-sama memiliki hubungan yang berbanding terbalik sehingga kurvanya dimulai dari kiri atas ke kanan bawah.

8. solver equations 9-5(2x-1)=6​


Jawaban:

[tex]9 -(10x - 5) = 6 \\ 9 - 10x + 5 = 6 \\ 14 - 10x = 6 \\ 10x = 14 - 6 \\ 10x = 8 \\ x = \frac{8}{10} = \frac{4}{5} \\ x = 0,8[/tex]


9. solve the linear equations in one variable bellow! a.2x - 25 = x + 4


2x - 25 = x + 4
2x -x = 25 + 4
x = 292x - 25 = x + 4 
2x = x + 4 + 25 
2x = x + 29 
2x - x = 29 
x = 29 

10. [tex]\frac{1}{4}a[/tex] = 5, solve that equations!


1/4 . a = 5

4 . 1/4 . a = 5 . 4

a = 20


Mapel :  Matematika

Kelas :  7

Materi :  Bab 6 - Persamaan dan Pertidaksamaan Satu Variabel

Kata Kunci :  

Kode Soal :  2

Kode Kategorisasi : 7.2.6


11. Find the solution of the following linear equations system --> x−7y=−11 and 5x+2y=−18 * A. x=−4, y=1 B. x=4, y=1 C. x=−4, y=-1 D. x=4, y=-1


Persamaan1

x - 7y = - 11

x = - 11 + 7y

Persamaan2

5x + 2y = - 18

SubstitusiPersamaan1kePersamaan2

5x + 2y = - 18

5 ( - 11 + 7y ) + 2y = - 18

- 55 + 35y + 2y = - 18

37y = 37

y = 1

SubstitusiNilaiykePersamaan1

x = - 11 + 7y

x = - 11 + 7 ( 1 )

x = - 11 + 7

x = - 4

Hp = { - 4 , 1 }


12. arti slope nol dan slope tak terhingga


yayayayayayayayayayayaya emang

13. passes through (1/3, 4) and has no slope​


Penjelasan dengan langkah-langkah:

equation of line

y - 4 = 0(x- ⅓)

y = 4


14. [tex]\frac{1}{4}a[/tex] = 5, solve the equations!


a = 5 x 4 = 20 jawabannya

15. Pada Regresi linear sederhana diperoleh persamaan: y=0.2+2.3X1+e, nilai slope berapa? a. 0.2 b. 1 c. 2.3 d. 0


Jawaban:

b. 1

maaf kalau salah kak


16. 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

17. 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}


18. solve the following equations.1-4 (2x+3)=5 (x-2)-3 (x-1)​


Jawab:

x = [tex]- \frac{2}{5}[/tex]

Penjelasan dengan langkah-langkah:

1 - 4(2x + 3) = 5(x - 2) - 3(x - 1)

1 - 8x - 12    = 5x - 10 - 3x + 3

     -8x - 11  = 5x - 3x - 10 + 3

    -8x - 11  = 2x - 7

   2x + 8x = -11 + 7

          10x = -4

             x = [tex]\frac{-4}{10}[/tex]

             x = [tex]- \frac{2}{5}[/tex]

[tex]1 - 8x - 12 = 5x - 10 - 3x + 3 \\ - 8x - 5x + 3x = - 10 + 3 - 1 + 12 \\ - 10x = 4 \\ x = - \frac{4}{10} = - \frac{2}{5} [/tex]


19. 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


20. solve the linear equations in one variable 4(3 + 2×) = 9( × - 4)


4(3 + 2x) = 9(x - 4)
12 + 8x = 9x - 36
12 + 36 = 9x - 8x
48 = x

x = 48
4(3+2x) = 9(x-4) 12 + 8x = 9x-36 8x -9x = 12-36 -x = -24 X = -24/-1 X = 24 Maaf klo salah: v

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