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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 help you identify which variable to eliminate.


What should the first step be?

Explain - Why did you identify that step?

How does it help you get closer to a solution?

Respuesta :

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Answer:

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.

Answer:

3x   = 18

Step-by-step explanation:

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