Question

Найдите координаты точки пересечения прямых y=3x и y= -2 x-5. Ответе пожалуйста очень надо!!!!

Answer 1

Y=3x    y=-2x-5
3x=-2x-5
3x+2x=-5
5x=-5
x=-5:5
x=-1
y(-1)=3*(-1)=-3
(-1;-3) - точка пересечения данных прямых

Answer 2

Finding the Intersection Point of Two Lines

To find the coordinates of the intersection point of the two lines \(y=3x\) and \(y=-2+x-5\), we can set the two equations equal to each other and solve for the value of \(x\).

The equations are: 1. \(y=3x\) 2. \(y=-2+x-5\)

By setting these two equations equal to each other, we get: \[3x = -2+x-5\]

Solving for \(x\): \[3x = x-7\] \[2x = -7\] \[x = -\frac{7}{2}\]

Now that we have the value of \(x\), we can substitute it back into either of the original equations to find the value of \(y\).

Using the equation \(y=3x\): \[y = 3 \times \left(-\frac{7}{2}\)\] \[y = -\frac{21}{2}\]

So, the coordinates of the intersection point are \((-\frac{7}{2}, -\frac{21}{2})\).

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