Question

6(x + y)-y=-1 17(y+4)-(y-2) = 0​

Answer 1

Ответ:

1)dy/dx=-6/5

1)dy/dx=-6/52)y=-35/8

Пошаговое объяснение:

Надеюсь помогла

Answer 2

To solve the given system of equations:

1. 6(x + y) - y = -1

2. 17(y + 4) - (y - 2) = 0

Let's solve the equations step by step.

1. 6(x + y) - y = -1

Distribute the 6: 6x + 6y - y = -1

Combine like terms: 6x + 5y = -1

2. 17(y + 4) - (y - 2) = 0

Distribute the 17 and the negative sign: 17y + 68 - y + 2 = 0

Combine like terms: 16y + 70 = 0

Now we have a system of two equations:

6x + 5y = -1 ...(1) 16y + 70 = 0 ...(2)

To solve this system, we can use the substitution method. Solve equation (2) for y:

16y + 70 = 0

Subtract 70 from both sides: 16y = -70

Divide by 16: y = -70/16 y = -35/8

Substitute this value of y back into equation (1):

6x + 5(-35/8) = -1

Multiply 5 by -35/8: 6x - 175/8 = -1

Add 175/8 to both sides: 6x = -1 + 175/8

To simplify, we'll find a common denominator for the right side: 6x = -8/8 + 175/8

Combine the fractions on the right side: 6x = (175 - 8) / 8 6x = 167/8

Divide by 6: x = (167/8) / 6 x = 167/48

So, the solution to the system of equations is: x = 167/48 y = -35/8