Question

Не выполняя построения найдите координаты точки пересечения графиков линейных функций 1)y=10x-7 и y=5 2) y=0.1x и y=14 С объяснением если можно.

Answer 1

нужно просто прировнять у

а затем найти х и у

1)10х-7=5

х=1.2

у=5

2)0.1х=14

х=140

у=14

Answer 2

Finding the Intersection Points of Linear Functions

To find the coordinates of the intersection points between the graphs of the given linear functions, we need to solve the system of equations formed by equating the two functions.

Let's start with the first set of functions: 1) y = 10x - 7 2) y = 5

To find the intersection point, we can set the two equations equal to each other and solve for x: 10x - 7 = 5

Simplifying the equation: 10x = 5 + 7 10x = 12 x = 12/10 x = 1.2

Now that we have the value of x, we can substitute it back into either of the original equations to find the corresponding y-value. Let's use the first equation: y = 10(1.2) - 7 y = 12 - 7 y = 5

Therefore, the coordinates of the intersection point for the first set of functions are (1.2, 5).

Moving on to the second set of functions: 1) y = 0.1x 2) y = 14

Setting the two equations equal to each other: 0.1x = 14

Simplifying the equation: x = 14/0.1 x = 140

Substituting the value of x into either of the original equations: y = 0.1(140) y = 14

Hence, the coordinates of the intersection point for the second set of functions are (140, 14).

To summarize: - The intersection point for the first set of functions (y = 10x - 7 and y = 5) is (1.2, 5). - The intersection point for the second set of functions (y = 0.1x and y = 14) is (140, 14).

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