Question

(3-7х)у+7у(х+9)=264 Х(4-у)=у(8-х)-34

Answer 1

3у-7ху+7ху+63у=264
66у=264            
у=264:66          
у=4
4х-ху-8у+ху=-34                  
4х-8у=-34          
4х-8*4=-34        4х=-34+32

у=4
х=-1/2

Answer 2

Не за что.Удачи.Надеюсь, что помогла.

Answer 3

To solve the system of equations:

1. (3 - 7х)у + 7у(х + 9) = 264
2. х(4 - у) = у(8 - х) - 34

Let's start with the first equation:

1. (3 - 7х)у + 7у(х + 9) = 264

First, let's expand the terms:

3у - 7ху + 7xy + 63у = 264

Now, combine like terms:

10у + 7xy - 7ху = 264

Now, let's move all terms to one side to set the equation to zero:

10у + 7xy - 7ху - 264 = 0

Next, let's work on the second equation:

2. х(4 - у) = у(8 - х) - 34

Expand the terms:

4х - ху = 8у - ху - 34

Now, let's move all terms to one side to set the equation to zero:

4х - ху - 8у + ху + 34 = 0

Now, we have two equations:

1. 10у + 7xy - 7ху - 264 = 0
2. 4х - ху - 8у + ху + 34 = 0

Now, we can try to solve for у in terms of х from the second equation:

4х - ху - 8у + ху + 34 = 0

Combine like terms:

4х - 8у + 34 = 0

Subtract 4х from both sides:

-8у + 34 = -4х

Now, isolate у by dividing both sides by -8:

у = (-4х - 34) / -8

у = (4х + 34) / 8

у = (х + 8.5)

Now that we have у in terms of х, let's substitute this expression back into the first equation:

10у + 7xy - 7ху - 264 = 0

10(х + 8.5) + 7х(х + 8.5) - 7х(х + 8.5) - 264 = 0

Simplify:

10х + 85 + 7х^2 + 59.5х - 59.5х - 264 = 0

Combine like terms:

7х^2 + 10х - 179 = 0

Now we have a quadratic equation in terms of х. We can solve this equation using the quadratic formula:

The quadratic formula is given by:

х = (-b ± √(b^2 - 4ac)) / 2a

In our case, a = 7, b = 10, and c = -179:

х = (-(10) ± √((10)^2 - 4(7)(-179))) / 2(7)

х = (-10 ± √(100 + 5024)) / 14

х = (-10 ± √(5124)) / 14

Now, calculate the two possible values of х:

1. х = (-10 + √(5124)) / 14 ≈ 5.65
2. х = (-10 - √(5124)) / 14 ≈ -5.36

Now that we have the values of х, we can find the corresponding values of у:

1. у = (х + 8.5) ≈ (5.65 + 8.5) ≈ 14.15
2. у = (х + 8.5) ≈ (-5.36 + 8.5) ≈ 3.14

So, the solutions to the system of equations are approximately:

1. х ≈ 5.65, у ≈ 14.15
2. х ≈ -5.36, у ≈ 3.14