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:
Step-by-step explanation:
Mike is at the shop for school supplies. He sees some pencils he wants to buy. He sees that if he buys twelve of the same item, the store will take off $8. How much will twelve pencils cost at the store if one pencil is $5.99?
Equation: 12x-8
12x-8 =
12(5.99) - 8 =
71.88 - 8 =
$63.88
Hope this helps:)
Answer:
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
<em>Andre notices that he is a little taller than Lin, who described her height as h > and 150 h < 160 but andre is also shorter than their math teacher who is 164 centimeters tall. select the two inequalities that describe andress height</em>
Please have a look at the attached photo.
My answer:
Math teacher's height: 164 cm
Let Andre height is :a
We have Heather height: h
<=> h > and 150 h < 160
<=> 150 < h < 160
=> two inequalities that describe Andres height
Hope it will find you well
