To solve the system using addition, we want to add the two equations together in a way that eliminates one variable. In this case, we can add the two equations as they are, but with opposite signs in front of the y term:
(-3x + 1) + (2x - 4) = -x - 3
Now we have a new equation with only one variable, which we can solve by isolating x:
-x - 3 = 0
-x = 3
x = -3
Now that we know x = -3, we can plug this value into either of the original equations to solve for y:
y = -3(-3) + 1 = 10
So the solution to the system is (-3, 10). Using addition, we can see that the correct answer is not one of the options given.
Use addition to solve the linear system of equations.
Y=-3x+1
Y=2x-4
(-2,1)
(1,-2)
(1,2)
(-1,-2)
1 answer