diketahui sistem persamaan linear 2x+y=5 dan 3y=x-6,nilai dari 3x-2y=…

[tex]3y = x - 6 \\ y = \frac{x}{3} - 2 \\ \\ 2x + y = 5 \\ 2x + ( \frac{x}{3} - 2) = 5 \\ 6x + x - 6 = 15 \\ 7x = 15 + 6 \\ 7x = 21 \\ x = \frac{21}{7} = 3 \\ \\ y = \frac{x}{3} - 2 \\ y = \frac{3}{3} - 2 \\ y = 1 - 2 = - 1 \\ \\ = 3x - 2y \\ = 3(3) - 2( - 1) \\ = 9 + 2 = 11[/tex]

diketahui:
2x+y= 5
3y= x-6 = -x+3y= -6

ditanya: 3x-2y...?

jawab:

2x+y = 5
-x+3y = -6

=> 2x+y = 5
=> -2x+6y= -12
----------------------- +
=> 7y= -7
=> y= -1

2x+y= 5
=> 2x+(-1)= 5
=> 2x= 5+1
=> 2x= 6
=> x= 6/2
=> x= 3

3x-2y
=> 3(3)-2(-1)
=> 9-(-2)
=> 9+2
=> 11