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Anna [14]
2 years ago
10

Which equation is equivalent to 5 - 2x = 4?

Mathematics
2 answers:
expeople1 [14]2 years ago
5 0
-2x = -1
x = 1/2
Any equation that returns x=1/2 is a solution to this problem. For example, x= (3•4)/6 can be simplified so that x=1/2
Tanya [424]2 years ago
4 0

Hey there!

  • \bold{Simplify} both sides of your equation
  • \bold{-2x+5=4}
  • \bold{Subtract}  by the number \bold{5}
  • \bold{Like\downarrow}
  • \bold{-2x+5-5=4-5}
  • \bold{Cancel\rightarrow5-5} because it equals \bold{Keep\rightarrow4-5}   because it helps us solve for our answer
  • \bold{4-5=-1}
  • \bold{We\ get:-2x=-1}
  • \bold{Divide} by the \bold{-2} on each of your sides
  • \bold{Like\downarrow}
  • \bold{\frac{-2x}{-2}=\frac{-1}{-2}}
  • \bold{Cancel\rightarrow\frac{-2x}{-2}} because it gives us the result of \bold{Keep\rightarrow\frac{-1}{-2}} because it gives us the answer
  • \boxed{\boxed{\bold{Answer:x=\frac{1}{2}}}}\checkmark

Good luck on your assignment and enjoy your day!

~\frak{LoveYourselfFirst:)}

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➻ In a group of 40 people, 27 can speak English and 25 can speak Spanish.

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{What \: we \:  have  \: to \: find ? }}}}}\: \bigstar}

➻ The required number of people who can speak both English and Spanish .

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Assumption}}}}}\: \bigstar}

<u>Consider</u> ,

➻ A → Set of people who speak English.

➻ B → Set of people who speak Spanish

➻ A∩B → Set of people who can speak both English and Spanish

\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Given}}}}}\: \bigstar}

  • ➻ n (A) = 27

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\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Now}}}}}\: \bigstar}

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➻ 40 = 27 + 25 - n (A∩B)

➻ 40 = 52 - n (A∩B)

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\qquad {\: \:\bigstar \:  {\underline{\overline{\boxed{\bf{Therefore}}}}}\: \bigstar}

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━━━━━━━━━━━━━━━━━━━━━━

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➻ 40 = 27 + 25 - 12

➻ 40 = 52 - 12

➻ 40 = 40

➻ ∴ L.H.S = R.H.S

━━━━━━━━━━━━━━━━━━━━━━

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To verify the claim, we try to solve the system of congruences

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so that x = 23.

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Then

68 • 17 - 5 • 231 ≡ = 68 • 17 ≡ 1 (mod 231)

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