QuinnaA400229 QuinnaA400229
  • 03-11-2022
  • Mathematics
contestada

solve the equation1/4p-2/5=3/4p+7P=

Respuesta :

AjanaeG576323 AjanaeG576323
  • 03-11-2022

Solve:

[tex]\frac{1}{4}p-\frac{2}{5}=\frac{3}{4}p+7[/tex]

The LCM of the denominators is 4*5 = 20. So we multiply each term by 20 to eliminate denominators:

[tex]20\cdot\frac{1}{4}p-20\cdot\frac{2}{5}=20\cdot\frac{3}{4}p+20\cdot7[/tex]

Operating:

[tex]5p-8=15p+140[/tex]

Adding 8 and subtracting 15p:

[tex]5p-15p=8+140[/tex]

Simplifying:

[tex]-10p=148[/tex]

Dividing by -10:

[tex]p=\frac{148}{-10}[/tex]

Simplifying:

[tex]p=-\frac{74}{5}[/tex]

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