Question

Tentukan penyelesaian dari SPLDV dengan metode eliminasi a. 3x-2y=4 2x+y=5 b. 3x+2y=12 4x+y=1 c. 5x-3y=8 2x+5y=-3

Answer 1

A. 3x-2y = 4 |×1|
2x+y = 5 |×2|
=>3x-2y = 4
4x+2y = 10
---------------------- +
7x = 14
x = 2
=> 2x + y = 5
2.2+y = 5
4 + y = 5
y = 1
HP = {2,1}
b. 3x+2y = 12 |×1|
4x+y = 1 |×2|
=>3x+2y = 12
8x+2y = 2
---------------- -
-5x = 10
x = -2
=> 4x + y = 1
4(-2) + y = 1
(-8) + y = 1
y = 9
HP = {-2,9}
c. 5x-3y = 8 |×2|
2x+5y = -3 |×5|
=>10x-6y = 16
10x+25y = -15
--------------------- -
-31y = 31
y = -1
=>5x - 3y = 8
5x - 3(-1) = 8
5x + 4 = 8
5x = 4
x = 4/5
HP ={4/5,-1}
Semoga jawabannya bener ya

Answer 2

Semoga dapat dipahami