Question

Please answer fully and show the work! 50 points!

What is the solution to the system of equations?

3x - 6y= -12
x - 2y= -8
Use the substitution method to justify that the given system of equations has no solution. Show all work!

Answer 1

no solutions

Explanation:

3x - 6y= -12

x - 2y= -8

Solve the second equation for x

x-2y=-8

Add 2y to each side

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

x = -8+2y

Substitute this into the first equation every place to see x

3x-6y=-12

3(-8+2y) -6y=-12

Distribute the 3

-24 +6y -6y =-12

-24 = -12

Since this is never true there are no solutions.