Question

Решить систему уравнений 3x-5y=8. x=-y​

Answer 1

3x-5y=8

x=-y |×(-3)

3x-5y=8

-3x=3y

3x-5y=8

-3x-3y=0

-8y=8

y=-1

x=1

Відповідь: (1;-1)

Answer 2

Відповідь:

Пояснення:

Answer 3

To solve the system of equations:

1. 3x - 5y = 8
2. x = -y

We can use the second equation to express one variable in terms of the other and then substitute it into the first equation.

Step 1: Substitute x from the second equation into the first equation: Replace x in the first equation with -y (from the second equation):

3(-y) - 5y = 8

Step 2: Simplify the equation:

-3y - 5y = 8 -8y = 8

Step 3: Solve for y:

y = 8 / -8 y = -1

Step 4: Now that we have the value of y, substitute it back into the second equation to find x:

x = -(-1) x = 1

So, the solution to the system of equations is x = 1 and y = -1.