Answer:
3. [1, −2]
2. [−3, 3]
1. [−7, 10]
Step-by-step explanation:
3.
{7⁄2x - ½y = 9⁄2
{3x - y = 5
-6⁄7[7⁄2x - ½y = 9⁄2]
{−3x + 3⁄7y = −3 6⁄7 >> New Equation
{3x - y = 5
_________________
-4⁄7y = 1 1⁄7
-2 = y [Plug this back into both equations above to get the x-coordinate of 1]; 1 = x
__________________________________________________________
2.
{−3x + 9y = 36
{4x + 12y = 24
¾[4x + 12y = 24]
{−3x + 9y = 36
{3x + 9y = 18
______________
18y = 54
___ ___
18 18
y = 3 [Plug this back into both equations above to get the x-coordinate of −3]; −3 = x
__________________________________________________________
1.
{4x − y = −38
{x + y = 3
_____________
5x = -35
___ ____
5 5
x = -7 [Plug this back into both equations above to get the y-coordinate of 10]; 10 = y
I am joyous to assist you anytime.
15 cards = 9$
1 card = (9/15)$
12 cards = 9/15 * 12
= 108/15
= 7.2$
In probability 2 events are independent if the occurrence of 1 event does not affect the occurrence of the other event. Mathematically, if event A and event B are independent, then
. For our two events in this problem we have that
and
. If these two events are independent, then we should have that,

.A and B are independent events if the probability of A and B is 0.1
Answer:
Solution,
Radius(r)=6 cm
Height(h)=20 cm
Volume of cylinder= pi (r)^2 h
=3.14*(6)^2*20
=3.14*36*20
=2260.8 cm^3
Hope it helps
Good luck on your assignment
1 pencil + 1 eraser = $1.10
Pencil cost $1 more than the eraser.
⇒ If we take away $1 from the total, both the pencil and the eraser will cost the same.
⇒ $1.10 - $1.00 = $0.10
Divide by 2 to find the cost of the eraser.
⇒$0.10 ÷ 2 = $0.05
Find the cost of the pencil, which is $1 more than the eraser.
⇒ $0.05 + $1 = $1.05
Answer: The eraser costs $0.05