Question

Given the following system of linear equations, do Part A and Part B below.

(3x=3y-3
(y=x+1 Part A: Using the method of your choice (graphing, substitution or addition), find the solution to the system of linear equations. Include all of your work in your final answer. Part B: In two or more complete sentences, explain why you chose the specific method you used to find the solution to the system.

Answer 1

Answer: (0, 1)

Explanation:

For starters, the two equations are the same line if you put the first one into y=mx+b form you'll see that they are, so basically any solution to one is the same for the other.

I choose subsitution to find the solution set

`3x = 3y -3\\y = x + 1 \\3x = 3(x+1) -3 \\3x = 3x + 3 -3 \\3x - 3x= 3-3 \\x = 0 \\\\y = x+ 1\\y = 0 +1 \\y = 1`

This method is the easiest given that the problem already tells you what y is equal to. So this way you can substitute this in for y in the first equation and find x and then from there find y in the second.