Use elimination to solve the system of equations.

Question

2x +y=4
-4x-2y=8
a)There are no solutions.
b)The solution is (3,-2).
c)There are infinitely many solutions.
d)The solution is (2,0).

Answer 1

a)There are no solutions.

To solve this system of equations by elimination, we can multiply the first equation by 2 to make the coefficients of y in both equations equal:

4x + 2y = 8
-4x - 2y = 8

Adding these two equations together, we get:
0 = 16

This indicates that the system of equations has no solution, as the two lines represented by the equations are parallel and do not intersect.