Question

Given a system of linear equations; explain your strategy for solving the system, show the math required to solve the problem, and show the solution as an ordered pair.

Y = 3X - 3

Y = 2X - 1



Please respond to the question below in your own words with proper explanations and use of math vocabulary.

CRQ QUESTION: ________________

Answer 1

(2,3)

Explanation:

The given system is

y=3x-3

y=2x-1

We equate both equations and solve for x.

`3x - 3 = 2x - 1`

Group like terms to get:

`3x - 2x = - 1 + 3`

`x = 2`

We put x=2 into y=3x-3 to get:

`y = 3 * 2 - 3 = 6 - 3 = 3`

As an ordered pair the solution is (2,3)