Solve the system using elimination.

2x − 5y = −5
x + y = 8

A. (−2, 10)
B. (5, 3)
C. (11, −3)
D. no solution

To solve the system of equations using elimination, you need to eliminate one variable by adding or subtracting the equations. Let's start solving the system:

Given equations:
Equation 1: 2x - 5y = -5
Equation 2: x + y = 8

To eliminate one variable, we can multiply Equation 2 by 2 and subtract it from Equation 1.

Multiply Equation 2 by 2:
2(x + y) = 2(8)
2x + 2y = 16

Now, subtract Equation 2 from Equation 1:
(2x - 5y) - (2x + 2y) = -5 - 16
2x - 5y - 2x - 2y = -21
-7y = -21

Simplifying the equation further:
-7y = -21
Divide both sides by -7 to solve for y:
y = -21 / -7
y = 3

Now substitute the value of y back into Equation 2:
x + 3 = 8
Subtract 3 from both sides to solve for x:
x = 8 - 3
x = 5

Therefore, the solution to the system of equations is x = 5 and y = 3, giving us the point (5, 3).

The correct answer choice is B. (5, 3).

"elimination" needs to have the coefficients of either the x or the y to be opposite or the same.

I suggest multiplying the 2nd equation by 5, then adding the two equations.
Let me know what you get.