Question

If m/3 = 4x + 10 and m/4 = 5x
find m/4.

Answer 1

m/4 = 3x - 30

Explanation:

Hello!

Let's subtract the second equation from the first equation:

• 
  `\frac m3 = 4x + 10\\\frac m4 = 5x`
• 
  `\frac m3 - \frac m4 = 4x + 10 - 5x`

Now, solve for m.

Solve for m

• 
  `\frac m3 - \frac m4 = 4x + 10 - 5x`

Multiply both sides by 12 to get rid of the denominators

• 
  `4m - 3m = 48x + 120 - 60x`
• 
  `-m = 120 - 12x`
• 
  `m = 12x - 120`

Plug in 12x - 120 for m in m/4

Find m/4

• 
  `\frac m4; m = 12x - 120`
• 
  `(12x - 120)/(4)`
• 
  `(4(3x - 30))/(4)`
• 
  `3x - 30`

The value of m/4 is 3x - 30.