Question

Graph the system below and write its solution. Y=1/2x-1

-2x+y=4
You can answer no solution or infinitely many

Answer 1

x = -3.3333333

y = -2.666666

Explanation:

y = 1/2 x - 1

y = 2x + 4 The second equation has the 2x moved to the right side. The y's must be equal so equation the two equations.

1/2x -1 = 2x + 4 Subtract 1/2x from both sides.

-1 = 2x - 1/2 x + 4 Combine

-1 = 1.5x + 4 Subtract 4 from both sides

-1 - 4 = 1.5x

- 5 = 1.5x Divide both sides by 1.5

-5/1.5 = x

x = - 3.333333

Now put x = - 3.333333 into either one of the two given equations. The first one will require one less step, but it does not matter.

y = 1/2 (- 3.3333333) - 1

y = - 1.6666666 - 1

y = -2.6666666