Homework 3.5

Rearrange the steps so that the linear equation is solved correctly

y=2x\\y=-\frac{1}{3}x-1

1. Convert into an improper fraction

2. Substitute 2x in for y

3. Isolate the x

4. Solve for x

   
   

5. Combine like terms

6. Substitute answer for x into previous equation to solve for y

   
   

How many solutions are there to the following system of linear inequalities?

y\geq -3x+5\\y+1\leq-3x