Question

Which is the best approximation for the solution of the system of equations?

Answer 1

Answer:

(0.88, 0,65)

Step-by-step explanation:

what do we have to do ? I assume we need to find the crossing point between the 2 lines.

when looking at the graphic, we can already rule out the first, third and fourth option.

none of the coordinates of that point is larger than 1 in any direction or smaller than 0.5.

so, just by looking at things I immediately "bet" on answer option 2 (0.88, 0.65).

but let's check.

y = -2x/5 + 1

y = 3x - 2

for the crossing point both functions must produce the same functional value.

=>

-2x/5 + 1 = 3x - 2

-2x/5 + 5/5 = 15x/5 - 10/5

-2x + 5 = 15x - 10

15 = 17x

x = 15/17 = 0.88...

y = 3×0.88... -2 = 0.65...

hurray, our original observation and "suspicion" is confirmed.