Question

At what point does the line represented by the equation 4x + 7y = -11 intersects a line which is parallel to the x-axis, and at a distance 5 units from the origin and in the negative direction of y-axis.

help me!

Answer 1

The point ton the line is parallel to the x-axis, and at a distance 5 units from the origin in the negative direction of y-axis.
⇒ (0, -5)

When y = -5,
4x + 7y = -11
4x + 7(-5) = -11
4x - 35 = -11
4x = 24
x = 24 ÷ 4
x = 6

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Answer, the point of intersection is (6, -5).
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