1x Solve the system of equations using elimination.

Question

8x + 7y = -16
10x + 7y = -6
A
B
C
D
E
(3,6)
(8,5)
(7,10)
(5, -8)
(-5, -8)

Answer 1

To solve the system of equations using elimination, we need to eliminate one of the variables by adding or subtracting the two equations.

In this case, we can eliminate the y variable by subtracting the two equations.

(10x + 7y) - (8x + 7y) = -6 - (-16)
2x = 10
x = 5

Now, substitute the value of x into one of the original equations to find the value of y. Let's use the first equation:

8x + 7y = -16
8(5) + 7y = -16
40 + 7y = -16
7y = -56
y = -8

So the solution to the system of equations is (x, y) = (5, -8).

The correct answer is D) (5, -8).