Question

What is the solution of the following system using the elimination method? -4x + y = -6, 8x - 2y = 14

1) The only solution is (0, -3/2)
2) The only solution is (0, -6)
3) There are an infinite number of solutions
4) There is no solution

Answer 1

To solve this system of equations using the elimination method, we'll eliminate one of the variables by adding the two equations. Multiplying the first equation by 2, we get: -8x + 2y = -12. Adding this equation to the second equation, we get: 0x = 2. Since 0x is always 0, this equation has no solution. So, the correct answer is 4) There is no solution.

Step-by-step explanation:

To solve this system of equations using the elimination method, we'll eliminate one of the variables by adding the two equations.

Multiplying the first equation by 2, we get: -8x + 2y = -12

Adding this equation to the second equation, we get: 0x = 2

Since 0x is always 0, this equation has no solution. So, the correct answer is 4) There is no solution.