Question

Solve this system using elimination:

-8x - 10y = 24

6x + 5y = 2

A. (-7, -8)

B. (8, -7)

C. (-8, 7)

D. (7, -8)

E. Infinitely many solutions

F. (-7, 8)

G. No solution

H. (-8, -7)

Answer 1

To solve the system of equations using elimination, multiply the first equation by 6 and the second equation by -8 to eliminate the x variable. Subtract the second equation from the first equation to eliminate the x variable. The solution to the system of equations is (-7, -8).

Step-by-step explanation:

To solve the system of equations using elimination, we need to eliminate one of the variables by adding or subtracting the equations. Multiply the first equation by 6 and the second equation by -8 to eliminate the x variable.

Doing this, we get -48x - 60y = 144 and -48x - 40y = -16.

Subtract the second equation from the first equation to eliminate the x variable. This gives us -20y = 160. Solving for y, we find that y = -8.

Substitute the value of y into either of the original equations and solve for x. We find that x = -7.

Therefore, the solution to the system of equations is (-7, -8). So, the correct answer is A. (-7, -8).