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3x + 5y = 14 Complete the coordinates for this point that lies on this line: (–2, )

Question

3x + 5y = 14

Complete the coordinates for this point that lies on this line:

(–2, )

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Solution

To find the y-coordinate of the point that lies on the line given by the equation 3x + 5y = 14, we can substitute the x-coordinate into the equation and solve for y.

The x-coordinate of the point is -2. Substituting this into the equation gives:

3(-2) + 5y = 14 -6 + 5y = 14 5y = 14 + 6 5y = 20

To find y, we divide both sides of the equation by 5:

y = 20 / 5 y = 4

So, the coordinates of the point that lies on the line are (-2, 4).

This problem has been solved

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