What is the solution of the system of equations? -5x+2y=9 3x+5y=7

Step-by-step explanation:

The value of x is -1 and value of y is 2

Step-by-step explanation:

This is a simultaneous equation and we can use the elimination method to solve it

-5x+2y=9 eqn 1

3x+5y=7  eqn 2

Multiply equation 1 by 3 and eqn 2 by 5, the we will have

(-5x+2y=9) × 3

(3x+5y=7) × 5

-15x+6y=27 eqn 3

15x+25y=35 eqn 4

Add eqn 3 and 4 together and we will have

31y = 62

Divide both sides by 31 and we will have

y = 2

substitute 2 for y in any equation, but let us pick equation 1

-5x + 2(2) = 9

-5x + 4 = 9

-5x = 9 - 4

-5x = 5

Therefore x = -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