Question

Solve the system y=2x-1

3x-y=-1

A (−2, −5)
B infinite solutions
C (2, 5)
D no solution

Answer 1

Lets solve our system of equations step by step:

`y=2x-1` equation (1)

`3x-y=-1` equation (2)

Step 1. Replace equation (1) in equation (2)

`3x-y=-1`

`3x-(2x-1)=-1`

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

`x=-2` equation (3)

Step 2. Replace equation (3) in equation (1)

`y=2x-1`

`y=2(-2)-1`

`y=-4-1`

`y=-5`

We can conclude that the correct answer is: A (−2, −5)