Question

Y=3x-7 y=2 график функций5(x-2)+4(x+3)=5-x​

Answer 1

Ответ:

$1)\ \ y=3x-7\ \ ,\ \ y=2\\\\2)\ \ 5(x-2)+4(x+3)=5-x\\\\5x-10+4x+12=5-x\\\\9x+2=5-x\\\\10x=3\\\\x=0,3$

Answer 2

To find the intersection point of the two lines represented by the equations:

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

And the equation for the second line you provided:

3. 5(x - 2) + 4(x + 3) = 5 - x

Let's first solve equation (2) for y:

2. y = 2

Now, let's substitute this value of y into equation (3) and solve for x:

5(x - 2) + 4(x + 3) = 5 - x

Distribute and simplify:

5x - 10 + 4x + 12 = 5 - x

Combine like terms:

9x + 2 = 5 - x

Now, move the terms involving x to one side of the equation and constants to the other side:

9x + x = 5 - 2

10x = 3

Now, divide by 10 to solve for x:

x = 3/10

Now that we have the value of x, we can find the corresponding value of y using equation (1):

y = 3x - 7 y = 3(3/10) - 7 y = 9/10 - 7 y = -61/10

So, the intersection point of the two lines is approximately (3/10, -61/10).

Now, let's plot these lines and their intersection point on a graph:

1. Line 1: y = 3x - 7 (blue)
2. Line 2: y = 2 (green)
3. Equation 3: 5(x - 2) + 4(x + 3) = 5 - x (red)

The intersection point is marked as a purple dot.

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       0      1      2      3      4      5

So, the intersection point is at approximately (0.3, -6.1) on the graph.