Solve the following system by using either addition or substitution. If a unique solution does not exist, state whether the system is dependent or inconsistent.

Question

10x+2y=7
y=-5x+3

Answer 1

no solution.

first you have to place the -5x on the same side as the y... and it becomes a positive

5x+y =3

then you multiply it by -2

-2(5x+y =3)

then it is -10x-2y =-6

add it to 10x+2y = 7

you will see that 0 does not = 1, so therefore it has NO SOLUTION

Answer 2

as to whether its dependent or inconsistent... uhm, there should be something in the text that explains that :]

Answer 3

The equations are inconsistent. Both cannot simultaneously be true.