Penjelasan dengan langkah-langkah:

Eksponen & SPLDV

• Persamaan ke 1 :

4^(x - y + 1) = 32^(x - 2y + 1)

(2²)^(x - y + 1) = (2⁵)^(x - 2y + 1)

2^(2x - 2y + 2) = 2^(5x - 10y + 5)

(2x - 2y + 2) = (5x - 10y + 5)

2x - 5x - 2y + 10y + 2 - 5 = 0

-3x + 8y - 3 = 0

-3x + 8y = 3

......

• Persamaan ke 2 :

5^(x - 2y + 1) = 25^(x - 2y)

5^(x - 2y + 1) = (5²)^(x - 2y)

5^(x - 2y + 1) = 5^(2x - 4y)

x - 2y + 1 = 2x - 4y

x - 2x - 2y + 4y + 1 = 0

-x + 2y + 1 = 0

-x + 2y = -1

.....

Eliminasi Persamaan ke 1 dan 2

-3x + 8y = 3 |×-1|

-x + 2y = -1 |×-3|

3x - 8y = -3

3x - 6y = 3

__________ _

-2y = -6

y = 6/2

y = 3 --> subsitusi ke :

• -x + 2y = -1

-x + 2(3) = -1

-x + 6 = -1

-x = -1 - 6

-x = -7

x = 7

nilai x = 7 dan y = 3

HP = {( 7, 3 )}