Aisyah S

27 Oktober 2025 01:40

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Aisyah S

27 Oktober 2025 01:40

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Christin C

27 Oktober 2025 13:21

<p>4x - y = 5<br>2x + 3y = 8<br>Eliminasi :<br>12x - 3y = 15 &nbsp;<br>2x + 3y = 8 &nbsp; &nbsp; &nbsp; &nbsp;+<br>14x = 23<br>&nbsp; &nbsp; &nbsp;x = 23/14 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<br>Substitusi x &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<br>4 ( 23/14 ) - y = 5<br>&nbsp; &nbsp; &nbsp; &nbsp; 92/14 - y = 5<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 46/7 - y = 5<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 46/7 - 5 = y<br>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; y = 11/7<br><br><br><br>&nbsp;</p>

4x - y = 5
2x + 3y = 8
Eliminasi :
12x - 3y = 15  
2x + 3y = 8        +
14x = 23
     x = 23/14                              
Substitusi x                                  
4 ( 23/14 ) - y = 5
        92/14 - y = 5
          46/7 - y = 5
          46/7 - 5 = y
                      y = 11/7



 


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Nayla E

29 Oktober 2025 11:42

<p>{<i>a</i>1​+<i>b</i>1​=<i>c</i>1</p><p>​<i>a</i>2​+<i>b</i>2​=<i>c</i>2​​</p><p>Dengan:</p><p>a1=4,&nbsp;b1=−1,&nbsp;c1=5<i>a</i></p><p>a2=2,&nbsp;b2=3,&nbsp;c2=8</p><p>Langkah 1: Hitung determinan utama (Δ)</p><p>Δ=∣4−1</p><p>&nbsp; &nbsp; &nbsp;2 &nbsp;3∣ = (4)(3)−(2)(−1)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;=12+2 =14 Δ</p><p>Langkah 2: Hitung Δx det utama</p><p>Δx = ∣5−1</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;8 &nbsp; 3∣ = (5)(3)−(8)(−1)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; =15+8 = 23</p><p>Δy = |4 &nbsp;5</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 2 &nbsp; 8| = (4)(8)-(2)(5)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 32-10 = 22</p><p>Langkah 3: Cari x dan y</p><p>x = 23/14&nbsp;</p><p>y = 22/14</p><p>&nbsp; &nbsp;= 11/7</p><p>Hasil dengan determinan:</p><p>x = 23/14, y = 11/7​<br>&nbsp;</p>

{a1​+b1​=c1

a2​+b2​=c2​​

Dengan:

a1=4, b1=−1, c1=5a

a2=2, b2=3, c2=8

Langkah 1: Hitung determinan utama (Δ)

Δ=∣4−1

     2  3∣ = (4)(3)−(2)(−1)

             =12+2 =14 Δ

Langkah 2: Hitung Δx det utama

Δx = ∣5−1

         8   3∣ = (5)(3)−(8)(−1)

                  =15+8 = 23

Δy = |4  5

          2   8| = (4)(8)-(2)(5)

                    = 32-10 = 22

Langkah 3: Cari x dan y

x = 23/14 

y = 22/14

   = 11/7

Hasil dengan determinan:

x = 23/14, y = 11/7​
 


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