6x + 2 y = -18
3x + y = 24
To solve this system of equations, we can use the method of substitution.
Let's solve the second equation for y:
3x + y = 24
y = 24 - 3x
Now substitute this value of y into the first equation:
6x + 2y = -18
6x + 2(24 - 3x) = -18
6x + 48 - 6x = -18
48 = -18
This equation is incorrect since there are no variables left. This means that the system of equations is inconsistent, and there is no solution.
To solve the system of equations:
1. We are given two equations:
6x + 2y = -18 ...(Equation 1)
3x + y = 24 ...(Equation 2)
2. We will use the method of substitution to solve this system.
3. Rearrange Equation 2 to solve for y:
y = 24 - 3x
4. Substitute this expression for y into Equation 1:
6x + 2(24 - 3x) = -18
5. Simplify this equation:
6x + 48 - 6x = -18
6. Combine like terms:
48 = -18
7. Since the equation is not true, there is no solution to this system of equations.