Question

Решить систему 2x+7y=-16 4x-7y=10

Answer 1

Ответ с решением во вложении.

Answer 2

To solve the system of equations:

1. 2x + 7y = -16
2. 4x - 7y = 10

We can use the method of elimination or substitution. I'll use the elimination method here:

Step 1: Add the two equations to eliminate the 'y' terms.

(2x + 7y) + (4x - 7y) = -16 + 10

Simplifying the left side:

6x = -6

Step 2: Now, solve for 'x':

x = -6 / 6 x = -1

Step 3: Substitute the value of 'x' back into one of the original equations to solve for 'y'. I'll use the first equation:

2(-1) + 7y = -16

Simplifying:

-2 + 7y = -16

Step 4: Solve for 'y':

7y = -16 + 2 7y = -14

y = -14 / 7 y = -2

So, the solution to the system of equations is x = -1 and y = -2.