lshengqin2007 lshengqin2007
  • 07-03-2021
  • Mathematics
contestada

Make the variable in the brackets as the subject of each of the following formulae mx + 2x = 6​

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 12-03-2021

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]mx + 2x = 6[/tex]

Required

Make the variable in bracket the subject

From the given expression, none of the variables (m and x) are in brackets.

So, I will solve for m and then solve for x

Solving for m:

[tex]mx + 2x = 6[/tex]

Subtract 2x from both sides

[tex]mx = 6 - 2x[/tex]

Divide both sides by x

[tex]m = \frac{6 - 2x}{x}[/tex]

Solving for x:

[tex]mx + 2x = 6[/tex]

Factorize

[tex]x(m+2)= 6[/tex]

Divide both sides by m + 2

[tex]x = \frac{6}{m+2}[/tex]

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