Question

Найдите координаты точек пересечения графиков функции у=-38х+15 и у=-21х-36

Answer 1

-38x+15=-21x-36
-38x+21x=-36-15
-17x=-51
x=3

y=-21*3-36
y=-63-36
y=-99
Ответ: (3;-99).

Answer 2

Finding the Intersection Points of the Functions

To find the coordinates of the points of intersection of the functions \(y = -38x + 15\) and \(y = -21x - 36\), we can set the two equations equal to each other and solve for the value of \(x\). Once we have the value of \(x\), we can substitute it back into either of the original equations to find the corresponding \(y\) value.

First, let's solve for the value of \(x\):

\(-38x + 15 = -21x - 36\)

Solving for \(x\): \(-38x + 21x = -36 - 15\) \(-17x = -51\) \(x = 3\)

Now that we have the value of \(x\), we can find the corresponding \(y\) value by substituting \(x = 3\) into either of the original equations. Let's use \(y = -38x + 15\):

\(y = -38(3) + 15\) \(y = -114 + 15\) \(y = -99\)

So, the coordinates of the point of intersection of the two functions are (3, -99).

Cited Sources

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