identify the solution(s) of the system of equations if any -3x-4y=2, 8y=-6x-4

Question

identify the solution(s) of the system of equations if any -3x-4y=2, 8y=-6x-4

Answer 1

-3x-4y=2           eq1

6x+8y=-4         eq2

 

Multiply eq1 by 2.  We have

 

-6x-8y=4

6x+8y=-4

 

We are unable to solve for x or y because the equations add up to zero.  Here is why.  Let us write each equation in the

y=mx+b form.

 

eq1

 

-4y = 3x + 2

 

y = -(3/4)x - (1/2)

 

eq2

 

y = -(3/4)x - (1/2)

 

These equations are the same line.  Therefore, there are NO solutions.