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, )
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).
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