Solve the system by substitution.
-2x + y= 3
16x - 8y = -24
First, solve the first equation for y, which gives y = 2x+3.
Then, substitute this expression for y in the second equation:
16x - 8(2x+3) = -24
Simplify:
16x - 16x - 24 = -24
-24 = -24
This equation is true, which means that the system has infinitely many solutions.
To find the solution set, you can express y in terms of x:
y = 2x + 3.
So, any point of the form (x, 2x+3) is a solution to the system.