Question

I need help this is my last question and my brain hurts plus I need a good grade too, thank you!

Answer 1

Answer:

• y1 = -x +5
• y2 = 2x +14
• (x, y) = (-3, 8)

Step-by-step explanation:

We notice that x=0 is halfway between x = -1 and x = 1, so the corresponding y-intercepts will be ...

  for y1, (6+4)/2 = 5

  for y2, (12+16)/2 = 14

Each step in x is +2. The steps in y1 are -2, so the slope is -2/2 = -1.

The steps in y2 are +4, so the slope is 4/2 = 2.

Now, we have the slopes and intercepts, so we can write the system of equations as ...

  y1 = -x +5

  y2 = 2x +14

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The y-values are shown as equal in the table for x=-3, so the solution of the system of equations is ...

  (x, y) = (-3, 8)