Use addition to solve the linear system of equations.
Y=3x+1
Y=2x-4
(-2,1)
(1,-2)
(1,2)
(-1,-2)
To solve this system using addition, we want to eliminate one of the variables (either x or y) by adding the two equations together. Let's start by eliminating y:
Y=3x+1
Y=2x-4
------------
0=x-5
Now we have an equation in terms of x. Solving for x, we get x=5.
To find the value of y, we can substitute x=5 into either of the original equations:
Y=3(5)+1
Y=16
So the solution to the system is (5,16).
None of the given options is the correct answer.