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NoblePenguin

Answer:

The number 11 is not a solution for the given equation.

Step-by-step explanation:

We are given an equation with one variable. We can use simplifying processes to solve the equation.

[tex]3(x+6)=4x \ \ \text{Distribute the 3 through.}\\3x + 18 = 4x\ \ \ \text{Flip the equation.}\\4x = 3x + 18 \ \ \ \text{Subtract 3x from both sides.}\\\small\boxed{\bold{x = 18}}[/tex]

We can also substitute 11 for x and solve to see if the left side and right side of the equation equals itself.

[tex]3(11 + 6) = 4(11)\\33 + 18 = 44\\\small\boxed{\bold{51 \neq 44}}[/tex]

Therefore, 11 is not a solution for the given equation.

Answer:

  • First of all,We need to find the value of x to find that 11 is the solution to 3(x+6)=4x or not.

[tex] \displaystyle \rm \longmapsto \:3(x + 6) = 4x[/tex]

[tex] \displaystyle \rm \longmapsto \:3x + 18 = 4x[/tex]

[tex] \displaystyle \rm \longmapsto \:4x = 3x + 18[/tex]

[tex] \displaystyle \rm \longmapsto \:4x - 3x = 18[/tex]

[tex] \displaystyle \rm \longmapsto \:x = 18[/tex]

  • Let's put x as 11:

[tex] \displaystyle \rm \longmapsto \:3(11 + 6) = 4(11)[/tex]

[tex] \displaystyle \rm \longmapsto \:33 + 18 = 44[/tex]

[tex] \displaystyle \rm \longmapsto \:51 = 44[/tex]

  • 51 doesn't equal to 44.So,11 is not the correct solution to 3(x+6)=4x.

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