Question

How many solutions does this system of equations have?y = –2x + 22y + 4x = 4

Answer 1

Given:-

$y=-x+2,2y+4x=4$

To find the simplified equation.

So now we simplify,

$\begin{gathered} x+y=2 \\ 4x+2y=4 \\ ------ \\ -6x=0 \\ x=0 \end{gathered}$

Now we find the value of y,

$\begin{gathered} x+y=2 \\ 0+y=2 \\ y=2 \end{gathered}$

Since the value of x is o then there is INFINITLY MANY SOLUTIONS.