Lutfiana Q

30 September 2025 00:51

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Lutfiana Q

30 September 2025 00:51

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Fadhil I

30 September 2025 01:45

<p>Intinya kita bakal nyari berapa nilai x dan y yg memenuhi.</p><p>Note: 3y artinya 3 dikali y</p><p>&nbsp;</p><p>1)&nbsp;</p><p>x + 3y = 9 ...(i)</p><p>2x + y = 10 ...(ii)</p><p>&nbsp;</p><p>Kalikan persamaan (i) dengan 2 agar diperoleh</p><p>2x + 6y = 18 ...(iii) .&nbsp;</p><p>Mungkin pertanyaannya kenapa dikali 2? Supaya dia nanti bisa kita kurangkan dengan persamaan (iii) agar x nya hilang. Mungkin muncul pertanyaan lain, boleh ga kalau persamaan (ii) dikali 3 biar nanti bisa dikurangkan dengan persamaan (i) agar hilang si y nya? Jawabannya boleh. Intinya caranya ga saklek cuma 1, ada buanyak bgt. Ini yg saya jelaskan cuma salah satunya saja.</p><p>&nbsp;</p><p>Lalu lakukan eliminasi (iii) - (ii)</p><p>5y = 8</p><p>y = 8/5</p><p>&nbsp;</p><p>Sudah dapat y nya, tinggal substitusi nilai y ke salah satu persamaan, misal ke (i)</p><p>x + 3(8/5) = 9</p><p>x + 24/5 = 9</p><p>x = 9 - 24/5</p><p>x = 45/5 - 24/5</p><p>x = 21/5</p><p>&nbsp;</p><p>Jadi, untuk nomor 1,&nbsp;</p><p>x= 21/5</p><p>y = 8/5</p><p>&nbsp;</p><p>Kalau sisanya mungkin bisa dicoba, maaf krn agak banyak kalau ngerjain semuanya. Kalau ada yg ga ngerti boleh ditanyakan ke sini lagi</p>

Intinya kita bakal nyari berapa nilai x dan y yg memenuhi.

Note: 3y artinya 3 dikali y

 

1) 

x + 3y = 9 ...(i)

2x + y = 10 ...(ii)

 

Kalikan persamaan (i) dengan 2 agar diperoleh

2x + 6y = 18 ...(iii) . 

Mungkin pertanyaannya kenapa dikali 2? Supaya dia nanti bisa kita kurangkan dengan persamaan (iii) agar x nya hilang. Mungkin muncul pertanyaan lain, boleh ga kalau persamaan (ii) dikali 3 biar nanti bisa dikurangkan dengan persamaan (i) agar hilang si y nya? Jawabannya boleh. Intinya caranya ga saklek cuma 1, ada buanyak bgt. Ini yg saya jelaskan cuma salah satunya saja.

 

Lalu lakukan eliminasi (iii) - (ii)

5y = 8

y = 8/5

 

Sudah dapat y nya, tinggal substitusi nilai y ke salah satu persamaan, misal ke (i)

x + 3(8/5) = 9

x + 24/5 = 9

x = 9 - 24/5

x = 45/5 - 24/5

x = 21/5

 

Jadi, untuk nomor 1, 

x= 21/5

y = 8/5

 

Kalau sisanya mungkin bisa dicoba, maaf krn agak banyak kalau ngerjain semuanya. Kalau ada yg ga ngerti boleh ditanyakan ke sini lagi


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Kevin Y

30 September 2025 10:26

<p>1. x + 3y = 9<br>&nbsp; &nbsp; 2x + y = 10<br>&nbsp; &nbsp; &nbsp;<br>I. x = 9 - 3y &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; II. x = 9 - 3(8/5)<br>&nbsp; 2(9 - 3y) + y = 10 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;x &nbsp;= 9 - 24/5<br>&nbsp; &nbsp; &nbsp;18 - 6y + y = 10 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;x &nbsp;= 45/5 - 24/5<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 18 - 5y = 10 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<strong>x &nbsp;= 21/5</strong><br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; - 5y = -8<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<strong>y = 8/5&nbsp;</strong><br><br>&nbsp;2. &nbsp;2x + 3y = 30<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;x + 2y = 10<br>&nbsp; &nbsp; &nbsp;<br>I. x = 10 - 2y &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; II. x = 10 - 2y<br>&nbsp; &nbsp;2(10 - 2y) + 3y = 30 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; x = 10 - 2(-10)<br>&nbsp; &nbsp; &nbsp; &nbsp;20 - 4y &nbsp;+ &nbsp;3y = 30 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;x &nbsp;= 10 + 20 &nbsp; &nbsp; &nbsp;<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;-y &nbsp;= 10 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<strong>x &nbsp;= 30</strong><br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<strong> y &nbsp;= -10</strong><br><br>3. &nbsp;3x + &nbsp;y = 30<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;x + 2y = 10<br>&nbsp; &nbsp; &nbsp;<br>I. x = 10 - 2y &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; II. x = 10 - 2y<br>&nbsp; &nbsp;3(10 - 2y) + y = 30 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; x = 10 - 2(0)<br>&nbsp; &nbsp; &nbsp; &nbsp;30 - 6y &nbsp;+ &nbsp;y = 30 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;x &nbsp;= 10 - 0 &nbsp; &nbsp; &nbsp;<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; -5y &nbsp;= 0 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<strong>x &nbsp;= 10</strong><br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<strong> &nbsp;y &nbsp;= 0</strong><br><br>&nbsp;4. &nbsp;3x + &nbsp;2y = 30<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;2x + &nbsp;y = 10<br>&nbsp; &nbsp; &nbsp;<br>I. y = 10 - 2x &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; II. y = 10 - 2x<br>&nbsp; &nbsp;3x + 2y = 30 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; y = 10 - 2(-10)<br>&nbsp; &nbsp;3x + 2(10 - 2x) = 30 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; y = 10 + 20<br>&nbsp; &nbsp;3x + 20 - 4x &nbsp;= 30 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<strong>y = 30</strong><br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;20 - x &nbsp;= 30<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;- x = 10<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<strong> x = - 10</strong><br><br>&nbsp;5. &nbsp; &nbsp;x + &nbsp;3y = 9<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;3x + 2y = 10<br>&nbsp; &nbsp; &nbsp;<br>I. x = 9 - 3y &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; II. x = 9 - 3y<br>&nbsp; &nbsp; 3(9 - 3y) + 2y = 10 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;x = 9 - 3(17/7)<br>&nbsp; &nbsp; &nbsp; &nbsp;27 - 9y + 2y = 10 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;x = 9 - 51/7<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 27 - 7y = 10 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;x = 63/7 - 51/7<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; - 7y = - 17 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<strong>x = 12/7</strong><br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<strong>y = 17/7</strong></p>

1. x + 3y = 9
    2x + y = 10
     
I. x = 9 - 3y                               II. x = 9 - 3(8/5)
  2(9 - 3y) + y = 10                      x  = 9 - 24/5
     18 - 6y + y = 10                      x  = 45/5 - 24/5
            18 - 5y = 10                      x  = 21/5
                  - 5y = -8
                       y = 8/5 

 2.  2x + 3y = 30
         x + 2y = 10
     
I. x = 10 - 2y                           II. x = 10 - 2y
   2(10 - 2y) + 3y = 30               x = 10 - 2(-10)
       20 - 4y  +  3y = 30              x  = 10 + 20      
                           -y  = 10              x  = 30
                            y  = -10

3.  3x +  y = 30
         x + 2y = 10
     
I. x = 10 - 2y                           II. x = 10 - 2y
   3(10 - 2y) + y = 30               x = 10 - 2(0)
       30 - 6y  +  y = 30              x  = 10 - 0      
                          -5y  = 0              x  = 10
                             y  = 0

 4.  3x +  2y = 30
         2x +  y = 10
     
I. y = 10 - 2x                           II. y = 10 - 2x
   3x + 2y = 30                             y = 10 - 2(-10)
   3x + 2(10 - 2x) = 30               y = 10 + 20
   3x + 20 - 4x  = 30                    y = 30
               20 - x  = 30
                     - x = 10
                        x = - 10

 5.    x +  3y = 9
         3x + 2y = 10
     
I. x = 9 - 3y                             II. x = 9 - 3y
    3(9 - 3y) + 2y = 10                x = 9 - 3(17/7)
       27 - 9y + 2y = 10                x = 9 - 51/7
                27 - 7y = 10                x = 63/7 - 51/7
                      - 7y = - 17              x = 12/7
                           y = 17/7


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