How many solutions does this system of equations have?

y = - 2x + 2

2y + 4x = 4

Step-by-step explanation:

Given that,

y=-2x+2. Equation 1,

2y+4x=4. Equation 2.

Rearrange the equations

y+2x=2. Equation 1

2y+4x=4 equation 2

We notice that equation one is a function of equation two. that is they are equal, we can't use it to solve it simultaneously,

Then, the equation have infinite set of solution

y+2x=2

y=-2x+2

Let x=k

Then, y=-2k+2

This are the solution of the simultaneous equation

k € R, i. e k can take any number like from - infinity to + infinity