Answer:
6n-5=43
+5 +5
6n=48
/6 /6
n=8
Step-by-step explanation:
i hope this helps :)
Answer:
x=-35
Step-by-step explanation:
136+12x=-4(1-2x)
136+12x=-4+8x
+4 +4
140+12x-12x=8x-12x
140/-4=-4x/-4
x= -35
A normal vector is the set of coefficients of x, y, and z when the equation is written in standard (or general) form.
Subtracting the left side, we have
... 2(8 -y) -z +5(x -2) = 0
... 16 -2y -z +5x -10 = 0
... 5x -2y -z +6 = 0 . . . . . general form
A normal vector is (5, -2, -1).
Answer:
x = 9/25
y = 7/25
z = 4/25
Step-by-step explanation:
2x + y = 1 .......(1)
3y + z = 1 ........(2)
x + 4z = 1 ........(3)
Elimination 1 and 2
2x + y = 1 | ×3 |
3y + z = 1 | ×1 |
6x + 3y = 3
3y + z = 1
___________--
6x - z = 2 .............. (4)
Elimination 3 and 4
x + 4z = 1 | ×6 |
6x - z = 2 | ×1 |
6x + 24z = 6
6x - z = 2
___________--
25z = 4
z = 4/25
Elimination 3 and 4
x + 4z = 1 | ×1 |
6x - z = 2 | ×4 |
x + 4z = 1
24x - 4z = 8
___________+
25x = 9
x = 9/25
Subsitution 1
2x + y = 1
2(9/25) + y = 1
18/25 + y = 1
y = 1 - 18/25
y = 25/25 - 18/25
y = 7/25
