Question

Сверху y=x-20 внизу 15x-2y=1; сверху x=6-y внизу 3x-5y=2 системы уравнений

Answer 1

1) Ответ: х = -3; у = -23

2) Ответ: х = 4; у ＝2

Объяснение: фото.

Answer 2

To solve the system of equations, we'll first find the intersection points of the two pairs of lines.

1. Solve the system of equations from the first pair: a) y = x - 20 b) 15x - 2y = 1

Substitute equation (a) into equation (b): 15x - 2(x - 20) = 1 15x - 2x + 40 = 1 13x = -39 x = -3

Now, plug the value of x back into equation (a) to find y: y = -3 - 20 y = -23

So, the first pair of lines intersect at the point (-3, -23).

2. Solve the system of equations from the second pair: a) x = 6 - y b) 3x - 5y = 2

Substitute equation (a) into equation (b): 3(6 - y) - 5y = 2 18 - 3y - 5y = 2 -8y = -16 y = 2

Now, plug the value of y back into equation (a) to find x: x = 6 - 2 x = 4

So, the second pair of lines intersect at the point (4, 2).

Now, we have the two points of intersection: (-3, -23) and (4, 2).

To visualize this, let's plot the two pairs of lines on a graph:

(Note: The graph is not to scale, and it's just for visualization purposes.)

arduinoCopy code
First pair of lines:
y = x - 20 (blue line)
15x - 2y = 1 (green line)

Second pair of lines:
x = 6 - y (red line)
3x - 5y = 2 (orange line)

The graph will show that the two pairs of lines intersect at their respective points: (-3, -23) and (4, 2).