Question

Не выполняя построений, найдите координаты точки пересечения графиков функций y=3x-2,y=2x+3​

Answer 1

Ответ:

Надеюсь помогла. Первое и второе

Объяснение:

На фото

Answer 2

Finding the Intersection Point of the Functions

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

Step 1: Set the two equations equal to each other: \[3x-2 = 2x+3\]

Step 2: Solve for \(x\): \[3x-2 = 2x+3\] \[3x-2x = 3+2\] \[x = 5\]

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

Step 3: Substitute \(x=5\) into \(y=3x-2\): \[y = 3(5) - 2\] \[y = 15 - 2\] \[y = 13\]

Conclusion

The coordinates of the intersection point of the functions \(y=3x-2\) and \(y=2x+3\) are (5, 13).