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alexandr1967 [171]

3 years ago

15

3x+y=1/3 2x-3y=8/3 Solve the system of linear equation using any method.

1 answer:

krek1111 [17]3 years ago

4 0

3x + 1y = ¹/₃   ⇒ 9x + 3y = 1
2x - 3y = 2²/₃ ⇒ 2x - 3y = 2²/₃
   11x = 3²/₃
      11    11
         x = ¹/₃
   3x + y = ¹/₃
         3(¹/₃) + y = ¹/₃
   1 + y = ¹/₃
   - 1 - 1
   y = ⁻²/₃
      (x, y) = (¹/₃, ⁻²/₃)

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The school production of Our Town' was a big success. For opening night. 434 tickets were sold. Students paid $4.00 each, while

Alex73 [517]

Answer:

286 students attended

148 non students attended

Step-by-step explanation:

Given

$Tickets = 434$

$Students = \$4.00$

$Non-Students = \$6.00$

$Total = \$2032.00$

Solving (a): Number of students

Represent students with S and non students with N

So:

$S + N = 434$ --- (1)

$4S + 6N = 2032$ --- (2)

Make N the subject of formula in (1)

$N = 434 - S$

Substitute 434 - S for N in (2)

$4S +6(434 - S) = 2032$

Open Bracket

$4S + 2604 - 6S = 2032$

Collect Like Terms

$4S - 6S = 2032 - 2604$

$-2S = -572$

Divide through by -2

$S = 286$

<em>Hence; 286 students attended</em>

Solving (b):

Recall that

$N = 434 - S$

$N = 434 - 286$

$N = 148$

<em>148 non students attended</em>

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Why does adding a 0 to the end of a decimal not change the value of the decimal?

aniked [119]

Answer:

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Stephanie is 62 inches tall. Her brother is t inches shorter than she is.

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I think it is 62 - T because Stephanie is 62 inches and it says that her brother is shorter which I believe it means that you have to subtract.

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