Question

Tentukan himpunan penyelesaian dari SPLDV berikut dengan metode substitusi!

a. 5x-2y=-1
Dan -4x+3y=5

b.3x+5y=16
Dan 6x-4y=4

Tolongin ya bsk dikumpulin!!

Answer 1

A.
5x -2y = -1
5x + 1 = 2y
(5x + 1) / 2 = y

-4x + 3y = 5
-4x + 3( (5x + 1) / 2) = 5
-4x + 15/2 x + 3/2 = 5
-8/2 x + 15/2 x = 10/2 - 3/2
7/2 x = 7/2
x = 1

y = (5x + 1) / 2
y = (5(1) + 1) / 2 = 6/2 = 3
HP = {1,3}

b.
3x+5y=16
3x = 16 - 5y
x = (16-5y)/3

6x-4y=4
6((16-5y)/3) -4y = 4
2(16 - 5y) -4y = 4
32 -10y -4y = 4
-14y = 4-32
-14y = -28
y = 2

x = (16-5y)/3
x = (16 - 5(2)) / 3
x = (16 - 10)/3
x = 6/3 = 2
HP = {2,2}