Question

4x - 2y = -1
8x - 4y = -2
what method is most efficient to use and what is the answer

Answer 1

First, we will solve one equation for one variable in terms of the other variable. Let's solve the first equation for y in terms of x:

4x - 2y = -1

-2y = -4x - 1

y = 2x + 1/2

Now we can substitute this expression for y into the second equation:

8x - 4y = -2

8x - 4(2x + 1/2) = -2

8x - 8x - 2 = -2

-2 = -2

This is a true statement, which means that the system of equations has infinitely many solutions. In other words, any value of x will satisfy the system of equations.

So the answer is that the system of equations has infinitely many solutions.

Answer 2

Elimination is most efficient to use

x and y have infinite solution