Question

Use elimination to solve the system of equations.
2x+4y=5
-2x-y=4
The solution is (7/2,-3).
The solution is (3,-7/2).
The solution is (-7/2,3).
The solution is (-3,7/2).

Answer 1

To solve this system of equations using elimination, we can add the two equations together in order to eliminate the variable x.

(2x + 4y) + (-2x - y) = 5 + 4
2x + 4y - 2x - y = 9
3y = 9
y = 3

Now that we have found the value of y, we can substitute it back into one of the original equations to solve for x.

2x + 4(3) = 5
2x + 12 = 5
2x = -7
x = -7/2

Therefore, the solution to the system of equations is (-7/2, 3). So the correct option is: The solution is (-7/2, 3).