Answer:
Infinite Solutions
Step-by-step explanation:
We have a system of equation and are asked to determine how many solutions there are.
y + 2x = 4
2y + 4x = 8
To solve, we can first get y by itself in the first equation.
y + 2x = 4
Subtract 2x from both sides :
y = 4 - 2x
Now that y is alone, we can plug it into the second equation :
2(4 - 2x) + 2x = 8
Distribute :
(2(4) - 2(2x)) + 2x = 8
8 - 4x + 2x = 8
Add like terms :
-4x + 2x
8 - 2x = 8
Subtract 8 from both sides :
-2x = 0
Therefore this set of equations has Infinite Solutions.
This can also be determined by graphing.
