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)
