Y+2x=4 2y+4x=8 how many soluations

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.

dalila is incorrect. the whisker on the left is very long, going all the way out to 5. the whisker goes from 5 to 30, so it has a spread of 25. the rest of the box plot values are closer together, so 5 is an outlier