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Katyanochek1 [597]
3 years ago
6

-3x + 3y = 4 -x+ y = 3

Mathematics
1 answer:
Natalka [10]3 years ago
6 0

Answer:

No solution

Step-by-step explanation:

-3x + 3y = 4

-x + y = 3

<u>Solve the equation for x:</u>

<u>Move the variable to the right side and change its sign</u>

-x + y = 3

-x = 3 - y

<u>Change the signs on both sides of the equation</u>

-x = 3 - y

x = -3 + y

<u>Substitute the given value of x into the equation -3x + 3y = 4</u>

-3x + 3y = 4

x = -3 + y

-3(-3+y)+3y=4

<u>Solve the equation for y</u>

-3(-3+y)+3y=4

y = 0

There is no solution for y.

And since there's no solution for y, the system has no solution.

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Answer:

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Step-by-step explanation:

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3 years ago
Mr. Autry bought a hat for $99.90. He also bought a pair of boots for $89.90. What was the total cost of the hat and boots inclu
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Answer:

$204.98

Step-by-step explanation:

Step 1: Add both item cost

99.90 + 89.90 = 189.80

Step 2: Find the sales tax of the result

\frac{8}{100}\times 189.8 = 15.184

  • Step 1: Convert 8% to fraction
  • 8\%= \frac{8}{100}
  • Simplify
  • \frac{8}{100} = \frac{2}{25}
  • Step 2: Convert 189.80 to a fraction
  • 189.80 = \frac{189.8}{1}
  • Step 3: Set it up
  • \frac{2}{25}\times \frac{189.8}{1}
  • Step 4: Cross divide
  • 189.80 \div 25 = 7.592\\2 \div 1 = 2
  • Step 5: Multiply the result
  • 7.592 \times 2 = 15.184

Step 3: Add the result from the total cost of both items

189.80 + 15.184 = 204.98

The total cost of the hats and boots including sales tax is 204.98 dollars

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Step-by-step explanation:

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