Question

Графики функций y = 3x – 7 и y = 2x – 3 пересекаются в точке: (2; 1) (4; 5) (3; 3) (2; -1)

Answer 1

y = 3x - 7,

y = 2x - 3,

1. находим абсциссу х:

3х - 7 = 2х - 3,

3х - 2х = -3 + 7,

х = 4,

2. находим ординату точки пересечения  (из любой функции):

у = 3х - 7,

у = 3 * 4 - 7,

у = 12 - 7,

у = 5,

ответ:   Графики функций пересекаются в точке  (4; 5)

Answer 2

(4,5) тк 3×4-7=5 и 2×4-3=5

Answer 3

To find the point at which two functions intersect, we need to find the values of x and y that satisfy both equations simultaneously. In other words, we are looking for the values of x and y that make both equations true at the same time.

The given functions are:

1. y = 3x - 7
2. y = 2x - 3

To find the intersection point, we set the two equations equal to each other:

3x - 7 = 2x - 3

Now, we can solve for x:

3x - 2x = -3 + 7 x = 4

Now that we have the value of x, we can find the corresponding y-coordinate by substituting the value of x into either of the original equations. Let's use the first equation:

y = 3(4) - 7 y = 12 - 7 y = 5

So, the two functions intersect at the point (x, y) = (4, 5). Therefore, the correct answer is (4; 5).