Question

Which system of equations has the same solution as the system below?

4x+ 5y = 13
10x - 8y = -32


A 4x+ 5y= 13
5x - 4y = -32
B 40x + 50y = 130
5x - 4y = 16
C 20x + 25y = 65
-20x + 16y = 64
D -4x - 5y = 13
10x - 8y = -32

Answer 1

The system of equations that has the same solution as the given system is option D, -4x - 5y = 13 and 10x - 8y = -32.

Step-by-step explanation:

The system of equations that has the same solution as the given system is option D, -4x - 5y = 13 and 10x - 8y = -32.

To find the system of equations with the same solution, we need to find another system of equations that represents the same lines. This means that the lines have the same slope and the same y-intercept. By comparing the coefficients of x and y and the constants in each equation, we can see that option D satisfies these conditions.