Question

Solve each given equation and show your work

Answer 1

(c)
`NO\: SOLUTION`

(b)
`INFINITELY\: MANY\: SOLUTIONS`

(a)
`30 = x;\: ONE\: SOLUTION`

Explanation:

* If two expressions have the exact same rate of change [slope], automatically, there is no solution.

4x + 8 = 2x + 7 + 2x - 20

4x + 8 = −13 + 4x

-4x - 4x

_________________

8 ≠ −13; NO SOLUTION

__________________________________________________________

25 - 4x = 15 - 3x + 10 - x

25 - 4x = −4x + 25; INFINITELY MANY SOLUTIONS

__________________________________________________________

6x + 4x - 6 = 24 + 9x

10x - 6 = 24 + 9x

-10x - 10x

_________________

−6 = 24 - x

-24 - 24

___________

−30 = −x

30 = x; ONE SOLUTION

I am joyous to assist you anytime.