Question

Do you think there are any ordered pairs that are solutions to BOTH y = x + 5 and y = –2x – 1? Explain.

Answer 1

Answer:

The ordered pair is $(-2,3)$

Step-by-step explanation:

$y=x+5\\y=-2x-1\\\implies x+5=-2x-1\\\implies 3x=-6\\\boxed{x=-2}\\\implies y=-2+5=\boxed {3}$

Answer 2

Answer:

(-2,3)

Step-by-step explanation:

Set the two equations equal to each other since they both equal y

x + 5 = -2x - 1

+2x      +2x          Add 2x to both sides

3x + 5 = -1

     - 5   - 5          Subtract 5 from both sides

3x = -6                 Divide both sides by 3

x = -2

Plug this into one of the original equations

y = x + 5

y = -2 + 5              Add

y = 3