Answer:
(x, y, z) = (4, -1, 3)
Step-by-step explanation:
To solve the system of equations:
2x − 3y + 4z = 23 .........................(1)
x + 2y − 4z = −10 ..........................(2)
3x − y + 2z = 19..............................(3)
Simultaneously, we do that by first eliminating one variable from any two equations to have an equation in two variables. The process is repeated with one of the used equations and the third unused equation to have a second equation in two variables. The two equations in two variables obtained can then be easily solved simultaneously.
Let us eliminate z from (1) and (2)
Add (1) and (2)
(1) + (2):
3x - y = 13 ........................................(4)
Multiply (3) by 2
(3) × 2
6x - 2y + 4z = 38 ............................(5)
Add (5) and (2)
(5) + (2):
7x + 0 + 0 = 28
x = 28/7 = 4
Putting this in (4)
3(4) - y = 13
y = 12 - 13 = -1
Putting this in (3)
3(4) - 4(-1) + z = 19
z = 19 - 16 = 3
Therefore,
(x, y, z) = (4. -1, 3)
Answer:
C
Step-by-step explanation:
Since lines a, b, c, d, and XY are all parallel to each other, and are a part of the same triangle, they are all similar. Thus, we can compare rates -- the distance between P to Y is 12, and 2/3 of 12 is 8, so we need to find that length, which is C
Can see it can you make it bigger
Answer: Rock particles clump together in aggregate
Step-by-step explanation:
Soil minerals form the basis of soil. They are produced from rocks (parent material) through the processes of weathering and natural erosion. Water, wind, temperature change, gravity, chemical interaction, living organisms and pressure differences all help break down parent material.
