rockinrosh12 rockinrosh12
  • 30-01-2019
  • Mathematics
contestada

the value of the expression 5x+7 is 3 times less than the value of the expression 61–10x
Find x.

Respuesta :

gmany
gmany gmany
  • 30-01-2019

Answer:

x = 8/5

Step-by-step explanation:

[tex]\text{The expression 5x+7 is 3 times less than the value of the expression 61-10x:}\\\\3(5x+7)=61-10x\qquad\text{use distributive property}\ a(b+ c)=ab+ac\\\\(3)(5x)+(3)(7)=61-10x\\\\15x+21=61-10x\qquad\text{subtract 21 from both sides}\\\\15x=40-10x\qquad\text{add 10x to both sides}\\\\25x=40\qquad\text{divide both sides by 25}\\\\x=\dfrac{40}{25}\\\\x=\dfrac{40:5}{25:5}\\\\\boxed{x=\dfrac{8}{5}}[/tex]

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