Identify the number of solutions to 3x + 21 = 3(x + 7).

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21-09-2020
Mathematics

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Identify the number of solutions to 3x + 21 = 3(x + 7).

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lily24thomas lily24thomas · Answer 1 · 2020-09-21T17:38:26+02:00

3x + 21 = 3(x + 7)
so what you do first is distribute on the left side (meaning you multiply everything in the parentheses by the number on the outside: in this case 3)
so: 3x + 21 = 3x + 21
now when it looks like this ☝️ (the same variables and the same coefficient) you can tell it’s all real numbers or infinitely many although you can continue to subtract 3x from each side to get: 21 = 21 (since it’s true it’s all real numbers / infinitely many)
hope this helps :)

MrRoyal MrRoyal · Answer 2 · 2021-10-19T10:26:04+02:00

An equation can either have a solution, no solution or infinite many solution.

The equation has infinite many solutions.

The equation is given as:

[tex]\mathbf{3x + 21 = 3(x + 7)}[/tex]

Open bracket

[tex]\mathbf{3x + 21 = 3x + 21}[/tex]

Collect like terms

[tex]\mathbf{3x -3x = 21 - 21}[/tex]

Evaluate like terms

[tex]\mathbf{0= 0}[/tex]

There are no traces of variable x in the above equation, and the equation is true.

This means that: the equation has infinite many solutions.

Read more about equation solutions at:

https://brainly.com/question/2497547