Hey bot, this equation has no solution. Can you solve it and fill in the blanks with the correct info? Thanks! The equation is

Question

5x + 5=5x + 4,

Fill in the blanks here and triple-check your work
For the equation, _____
let's choose x = __
__(__) + __ = __(__) + __
__ = __

Answer 1

For the equation, there is no solution.

let's choose x = any number

(any number) + 5 = (any number) + 4

(any number) = (any number)

Answer 2

No, fill it in with numbers

Answer 3

Apologies for the misunderstanding. Let's fill in the blanks with numbers.

For the equation, 5x + 5 = 5x + 4,
let's choose x = 3

(3)(5) + 5 = (3)(5) + 4
15 + 5 = 15 + 4
20 = 19

This equation is not true, so there is no solution.

Answer 4

Plug a few points into the original equations and check to show that they can have no solution. Explain your work.

2x+3=2x+7
and
5x + 5 = 5x + 4

Answer 5

Sure, let's plug in a few points into the original equations to show that they have no solution:

1. For the equation 2x + 3 = 2x + 7:
Let's choose x = 0.
(2)(0) + 3 = (2)(0) + 7
0 + 3 = 0 + 7
3 = 7
As we can see, this is not true, so there is no solution for this equation.

2. For the equation 5x + 5 = 5x + 4:
Let's choose x = 1.
(5)(1) + 5 = (5)(1) + 4
5 + 5 = 5 + 4
10 = 9
Similarly, this equation is also not true, so it has no solution.

In both cases, plugging in different values for x resulted in contradictions, where the equation became false. This indicates that there is no value of x that satisfies the equation, hence no solution.