To find the solution to the linear system of equations 3x + 4y = -10 and 2x - 4y = 0, we can use the method of elimination or substitution.
Let's solve it using the method of elimination.
By adding the two equations together, we can eliminate the variable "y":
(3x + 4y) + (2x - 4y) = -10 + 0
Combining like terms, we get:
5x = -10
Dividing both sides by 5, we find:
x = -2
Now, substitute this value of x back into one of the original equations. Let's use the second equation:
2(-2) - 4y = 0
Simplifying, we have:
-4 - 4y = 0
Adding 4 to both sides, we get:
-4y = 4
Dividing both sides by -4, we find:
y = -1
Therefore, the solution to the linear system is the ordered pair (-2, -1).
