Question

7x+y=5

3x-y=15
Solve the linear system below using the elimination method.
a) (3, 4)
b) (-2, -3)
c) (2, -3)
d) None of the above

Answer 1

After applying the elimination method to the provided linear system, the solution obtained is (2, -9), which does not match any of the given options. The correct answer is (d) None of the above.

Step-by-step explanation:

To solve the linear system using the elimination method, we have the following two equations:

1) 7x + y = 5
2) 3x - y = 15

To eliminate y, we can add both equations together:

7x + y + 3x - y = 5 + 15

Combining like terms, we get:

10x = 20

Dividing both sides of the equation by 10:

x = 2

Now, we can substitute x back into either one of the original equations to solve for y. Let's use the second equation:

3(2) - y = 15

6 - y = 15

Subtracting 6 from both sides, we get:

-y = 9

Multiplying both sides by -1, we find:

y = -9

Therefore, the solution to the system is (2, -9), which does not match any of the provided choices (a), (b), or (c). Thus, the correct answer is (d) None of the above.