These are the equations: y = -3x + 5 and y = 2x^2 + 8x - 16

And the answers are

A: No Solutions, B: All real numbers, C: (-7, 26), (3/2, 1/2), and D: (7/6, 3/2),(4,-7)

From equations (1) and (2) we get

Put x = 1.5 in equation (1)

y = -3*1.5 + 5

y = -4.5 + 5

y = 0.5

Put x = -7 in equation (1)

y = -3*(-7) + 5

y = 21 + 5

y = 26

So the line and the curve intersect at 2 points

(1.5, 0.5) and (-7, 26)

ANSWER: C) (-7, 26), (3/2, 1/2)

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