solve 2x + y = 8

4x + 2y = 16

Eq2 was obtained by multiplying both sides of E

Eq2 was obtained by multiplying both sides of Eq1 by 2. Therefore, the two Eqs are identical. So we have an infinite number of solutions.

To solve the system of equations:

1. First, we can choose one equation and solve it for one variable. Let's choose the first equation and solve it for y:

2x + y = 8
y = 8 - 2x

2. Substitute the value of y from step 1 into the second equation:

4x + 2(8 - 2x) = 16

3. Simplify the equation:

4x + 16 - 4x = 16

The x terms will cancel out, leaving:

16 = 16

4. Since 16 = 16 is always true, this means that the two equations are dependent. This means that the two equations represent the same line and have infinitely many solutions.

Therefore, there are infinitely many solutions to the system of equations.