9514 1404 393
Answer:
(1, -5)
Explanation:
Here, it is easy to check the offered choices. We find the first one works, so our check is short.
For (x, y) = (1, -5)
3·1 +10·(-5) = 3 -50 = -47 . . . yes
5·1 -7·(-5) = 5 +35 = 40 . . . yes
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Both of the intercepts in the first equation are negative, so the line will form a triangle with the axes in the 3rd quadrant. The intercepts for the second equation are negative for y and positive for x, so the line forms a triangle with the axes in the 4th quadrant. The y-intercept for the first equation is -4.7; for the second equation, it is -40/7 = -5 5/7. This means the lines must cross in the 4th quadrant.
The only offered point in the 4th quadrant is (1, -5).