Beau has decided to use the method of elimination to solve the system of equations as shown below.2x+3y=15x-3y=3Explain 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?
Accepted Solution
A:
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.