Question

Найди точку пересечения графиков, заданных формулами y=1,5x и 2y+1x=45, без построения.

Answer 1

2y=45-x
y=(45-x)/2

(45-x)/2=1.5x
22.5-0.5x=1.5x
2x=22.5
x=11.25-точка пересечения

Answer 2

Finding the Intersection Point of the Given Graphs

To find the intersection point of the graphs given by the equations y=1.5x and 2y+1x=45, we can use the method of substitution or elimination. Let's proceed with the substitution method.

First, we'll solve the equation 2y+1x=45 for y: 2y = 45 - x y = (45 - x)/2

Now, we'll substitute this value of y into the equation y=1.5x: (45 - x)/2 = 1.5x

Solving for x: 45 - x = 3x 45 = 4x x = 45/4 x = 11.25

Next, we'll substitute the value of x back into the equation y=1.5x to find y: y = 1.5 * 11.25 y = 16.875

So, the intersection point of the graphs is at (11.25, 16.875).

[[SOURCE #1]]