Use addition to solve the linear system of equations.
Y=3x+1
Y=2x-4
(-2,1)
(1,-2)
(1,2)
(-1,-2)
To use addition to solve this system, we need to add the equations together in a way that eliminates one of the variables. In this case, if we add the two equations together, the y-terms will cancel out, leaving us with:
3x + 1 = 2x - 4
Now we can solve for x:
x = -5
To find y, we can plug in this value of x into either equation:
y = 3(-5) + 1
y = -14
So the solution to the system is (-5,-14).
Checking the other given points, we can see that none of them satisfy both equations, so (-5,-14) is the only solution.