Tentukan himpunan penyelesaian dari persamaan linear satu variabel berikut A.2x+4=-2 B2k-3=k+7 C.3(a-2)=a+2

a. 2x + 4 = -2
2x = -2 - 4
2x = - 6
× = -6/2 = -3
b. 2k-3 = k+7
2k-k = 7 + 3
k = 10
c. 3 (a-2) = a+2
3a-6 = a+2
3a-a = 2 +6
2a = 8
a = 8/2 = 4

A.)

[tex]2x + 4 = - 2 \\ 2x = - 2 - 4 \\ 2x = - 6 \\ x = \frac{ - 6}{2} \\ x = - 3[/tex]

Himpunan penyelesaian :
Hp = x = {-3}

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B.)

[tex]2k - 3 = k + 7 \\ 2k - k = 7 + 3 \\ k = 10[/tex]

Himpunan penyelesaian :
Hp = k = {10}

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C.)

[tex]3(a - 2) = a + 2 \\ 3a - 6 = a + 2 \\ 3a - a = 2 + 6 \\ 2a = 8 \\ a = \frac{8}{2} \\ a = 4[/tex]

Himpunan penyelesaian :
Hp = a = {4}