how many solutions dose the following equation have

Question

-x + 2y = 5
2x - 4y + -8

Answer 1

The given equation is:

-x + 2y = 5
2x - 4y = -8

To find the solutions for this system of equations, we can use the method of substitution or elimination.

Let's use the substitution method:

From the first equation, we have:
-x = 5 - 2y
x = 2y - 5

Now, substitute x in the second equation:

2(2y - 5) - 4y = -8
4y - 10 - 4y = -8
-10 = -8

As we can see, the system of equations is inconsistent and has no solutions.