145k views
7 votes
2x+4y=22
-x=2y-11
does it have no solution?

User Voskart
by
3.4k points

1 Answer

6 votes

Answer:

No, it actually has infinite solutions.

Explanation:

2x+4y=22 is your 1st equation

-x-2y=-11 is your 2nd equation.

Let's say you want to cancel out the x variable. Multiply the 2nd equation by 2.

Then your equations would be:

2x+4y=22

-2x-4y=-22

If you add both you will get 0=0

Since both sides are equal to each other, there are infinite solutions.

User Cwouter
by
3.9k points