Question

Solve the following system of equations: -2x + y = 1
-4x + y = -1 (1 point)

Answer 1

Step 1. Extract y from the first equation:

`y=1+2x`

Step 2. Replace y in the second equation and solve for x:

`-4x+1+2x=-1`

`-2x=-2`

`x=1`

Step 3. Replace x=1 in the first equation and find y:

`-2 \cdot 1 + y =1`

`y=3`

Answer 2

-2x + y = 1....multiply by -1
-4x + y = -1
--------------
2x - y = -1 (result of multiplying by -1)
-4x + y = -1
----------------add
-2x = -2
x = -2/-2
x = 1

-2x + y = 1
-2(1) + y = 1
-2 + y = 1
y = 1 + 2
y = 3

solution is : (1,3)