Question

Solve the system, using substitution.
4x + y = 4 and y = 4 - 4x

no solution
infinitely many solutions

Answer 1

4x + y = 4 --(I)
y = 4 - 4x --(II)

If we rearrange (I), we get
y= 4 - 4x which is the same as (II) so there will be infinitely many solutions

Answer 2

By method of substitution, it is as follows:

Answer 3

thanks for the help!

Answer 4

4x + y = 4 ---(I)
y = 4 - 4x ---(II)
substitute (II) into (I)
4x + (4 - 4x) = 4
4x +4 - 4x = 4
4x and - 4x cancel out leaving
4 = 4
This is a true statement and hence the given system of equations has infinitely many solutions