Answer:
To solve the system of equations by the addition method, we need to add the two equations in such a way that one of the variables is eliminated.
Multiplying the first equation by 5, we get:
-5x + 15y = -20
Adding this equation to the second equation, we get:
-5x + 15y = -20
5x - 15y = 20
0x + 0y = 0
This equation tells us that 0 = 0, which is always true. This means that the system of equations has infinitely many solutions, since any value of y will satisfy the equations, and we can then use one of the equations to find the corresponding value of x.
To find a particular solution, we can choose any value of y, say y = 1. Then from the first equation, we have:
-x + 3y = -4
-x + 3(1) = -4
-x = -7
x = 7
Therefore, a particular solution to the system of equations is x = 7 and y = 1. However, there are infinitely many other solutions, since any value of y will satisfy the equations.