Answer:
The solution to the system of equations will be:
(x, y) = (2, -2)
Step-by-step explanation:
Given the system of equations
y=2x-6
y=-x
Solving the system of equations
[tex]\begin{bmatrix}y=2x-6\\ y=-x\end{bmatrix}[/tex]
Substitute y = -x in y = 2x-6
y = 2x-6
-x = 2x-6
6 = 2x + x
3x = 6
divide both sides by 3
3x/3 = 6/3
x = 2
Now substitute x = 2 in y=-x
y=-x
y = -2
Therefore, the solution to the system of equations will be:
(x, y) = (2, -2)
