harnesscordell1 harnesscordell1
  • 10-03-2024
  • Mathematics
contestada

Solve 3/5x=12/15. Show all the work and check your answer.

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Intriguing456
Intriguing456 Intriguing456
  • 10-03-2024

Answer:

[tex]x=\dfrac{4}{3}[/tex]

Step-by-step explanation:

We can solve for x by multiplying both sides by the reciprocal of x's coefficient.

x's coefficient is:   [tex]\dfrac{3}{5}[/tex]

So, we should multiply both sides by:   [tex]\dfrac{5}{3}[/tex]

↓↓↓

[tex]\dfrac53\left(\dfrac{3}5x\right)=\left(\dfrac{12}{15}\right)\dfrac{5}3[/tex]

[tex]x = \dfrac{60}{45}[/tex]

[tex]x = \dfrac{60/15}{45/15}[/tex]

[tex]\boxed{x=\dfrac{4}{3}}[/tex]

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