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6) 73 + 15x = 343 8) 81 + 68x = 1,849 10) 57z + 93 = 435 12) 77 + 82x =…

Question

  1. 73 + 15x = 343
  2. 81 + 68x = 1,849
  3. 57z + 93 = 435
  4. 77 + 82x = 7,867

Explanation:

Response
Problem 6: \( 73 + 15x = 343 \)

Step1: Subtract 73 from both sides

\( 73 + 15x - 73 = 343 - 73 \)
\( 15x = 270 \)

Step2: Divide both sides by 15

\( \frac{15x}{15} = \frac{270}{15} \)
\( x = 18 \)

Step1: Subtract 81 from both sides

\( 81 + 68x - 81 = 1849 - 81 \)
\( 68x = 1768 \)

Step2: Divide both sides by 68

\( \frac{68x}{68} = \frac{1768}{68} \)
\( x = 26 \)

Step1: Subtract 93 from both sides

\( 57z + 93 - 93 = 435 - 93 \)
\( 57z = 342 \)

Step2: Divide both sides by 57

\( \frac{57z}{57} = \frac{342}{57} \)
\( z = 6 \)

Answer:

\( x = 18 \)

Problem 8: \( 81 + 68x = 1849 \)