1. Where do the lines 9x – 7y = 24 and 3x + y = -2 intersect?

Step-by-step explanation:

9x - 7y = 24

3x + y = -2

9x - 7y = 24

-9x - 3y = 6

-10y = 30

y = -3

3x - 3 = -2

3x = 1

x = 1/3

(1/3, -3)

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