Beau has decided to use the method of elimination to solve the system of equations as shown below.

2x+3y=15

x-3y=3

explain what beau's first step could be, and why the technique of elimination provides a solution to the system of equations.

answer the question using complete sentences and/or mathematical statements. you will earn 1 point for a correct first step and up to 2 points for an appropriate explanation.

hint: look at the coefficients of each term. this will you identify which variable to eliminate.

what should the first step be?

explain - why did you identify that step?

how does it you get closer to a solution?

See below  

Step-by-step explanation:

(1) 2x + 3y = 15

(2)  x  - 3y =   3

First step:

Add Equations (1) and (2).

Reason:

The y terms have the same coefficient (3). If I add +3 and -3, the two terms will cancel each other (be eliminated).

How it helps:

If I eliminate the y terms, I have only one variable, the x variable, to deal with.

(1)  2x + 3y = 15

(2)   x -  3y =  3

(3) 3x         = 18

I can then easily solve Equation (3) for the value of x.

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