Question

Find the solution of the system of equations. 2x + 5y = -11 A -8x - 5у = -1

Answer 1

The solution of the system of equations 2x + 5y = -11 and -8x - 5y = -1 is x = 2 and y = -3, found by adding the equations to eliminate y and then substituting the value of x into either equation.

Step-by-step explanation:

To find the solution of the system of equations 2x + 5y = -11 and -8x - 5y = -1, we can use the method of elimination or substitution.

1. Add the two equations together to eliminate y:
   (2x + 5y) + (-8x - 5y) = -11 + (-1)
   -6x = -12
   Thus, x = 2.
2. Substitute x = 2 into either one of the original equations to find y. Let's substitute into the first equation:
   2(2) + 5y = -11
   4 + 5y = -11
   5y = -15
   Therefore, y = -3.

The solution of the system of equations is x = 2 and y = -3.