1 Answer | Add Yours
You need to remember that the number of solutions to a consistent dependent system is infinite.
You also need to remember that the equations in system represent the equations of coincident lines.
You need to remember the condition of two coincident lines `a_1 x+b_1 y=c_1` and `a_2 x+b_2 y=c_2` :
`a_1/a_2 = b_1/b_2 = c_1/c_2`
You may consider as example the following system of equations such that:
`x - y = 1`
`3x - 3y =3`
You may use substitution to solve the system such that:
`x = 1+y`
`3(1+y)-3y=3 =gt 3+3y-3y=3`
Notice that using the condition between coefficients of coincident lines yields:
`1/3 = (-1)/(-3) = 1/3`
Hence, you need to consider the following condition between coefficients for the system to be consistent dependent: `a_1/a_2 = b_1/b_2 = c_1/c_2.`
We’ve answered 319,188 questions. We can answer yours, too.Ask a question