Question

What is the solution to the system of equations?

4x-8y=-16

x-2y=-8

a. Use the substitution method to justify that the given system of equations has no solution.
b. What do you know about the two lines in this system of equations?

Answer 1

No solution

Explanation:

from the second equation x = -8 + 2y

By substituting in the first equation 4(-8 + 2y) -8y = -16

-32 +8y -8y = -16

-32 = -16

the left hand side not equal the write and side

So there is no solution for the system of equations

means the two lines are parallel