Consider the following system of equations. a+b-4c=1
a+4b+c=12
a-3b-2c=-5
Show that (3,2,1) is a solution to the system

Step-by-step explanation:

a+b-4c-a-4b-c=1-12, -3b-5c=-11

a+4b+c-a+3b+2c=12+5, 7b+3c=17

3(-3b-5c)+5(7b+3c)=3(-11)+5(17)

-9b-15c+35b+15c=-33+85

26b=52

b=2, making 7b+3c=17 become

14+3c=17

3c=3

c=1, making a+b-4c=1 become

a+2-4(1)=1

a-2=1

a=3

(a,b,c)=(3,2,1)

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

all the angles opposite to the angle 150 would be 150 and all the angles that are next to 150 are 30 because they equal 180 it you add it up.

step-by-step explanation: