To solve these equations using the substituted method, we want to isolate one variable in terms of the other variable in one of the equations, and then substitute that expression into the other equation for the same variable. This will give us an equation with only one variable, which we can solve to find its value. Once we know one variable's value, we can substitute it back into one of the original equations to find the other variable's value.
Let's apply this method to the given equations:
2x - 24 = 4 ...(1)
3x + 44 = 8 ...(2)
From equation (1), we can isolate x by adding 24 to both sides:
2x - 24 + 24 = 4 + 24
2x = 28
x = 14
Now we substitute this value of x into equation (2):
3(14) + 44 = 8
42 + 44 = 8
86 = 8
This equation is not true, which means there is no solution that satisfies both equations simultaneously. Therefore, the system of equations is inconsistent, and there is no value of x and y that can satisfy both equations at the same time.