Question

{3х-5у=6{3х+8у=-7Пожалуйста помогите

Answer 1

3x-5y=6
3x+8y=-7  вычтем второе из первого

3х-3х+8у-(-5у)=-7-6
8у+5у=-13
13у=-13
у=-1

3х-5*(-1)=6
3х+5=6
3х=6-5
3х=1
х=1/3
Ответ:х=1/3;у=-1.

2 способ:
3х-5у=6
3х+8у=-7

3х=5у+6  подставляем во второе вместо 3х
(5у+6)+8у=-7

5у+6+8у=-7
13у+6=-7
13у=-7-6
13у=-13
у=-1

подставляем у=-1 в первое уравнение
3х-5*(-1)=6
3х+5=6
3х=6-5
3х=-1
х=-1/3

Ответ:х=-1/3;у=-1.

Answer 2

Solving the System of Equations:

To solve the system of equations 3x - 5y = 6 and 3x + 8y = -7, we can use the method of substitution or elimination.

Using the Method of Substitution:

We can solve the first equation for x and then substitute the value into the second equation.

From the first equation: 3x = 5y + 6 x = (5y + 6) / 3

Substitute this value of x into the second equation: 3((5y + 6) / 3) + 8y = -7 5y + 6 + 8y = -7 13y + 6 = -7 13y = -7 - 6 13y = -13 y = -1

Now that we have the value of y, we can substitute it back into the first equation to solve for x: 3x = 5(-1) + 6 3x = -5 + 6 3x = 1 x = 1 / 3

Solution:

The solution to the system of equations 3x - 5y = 6 and 3x + 8y = -7 is: x = 1/3 y = -1