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Alja [10]
3 years ago
5

-2x + y =0 5x + 3y = -11

Mathematics
1 answer:
Ivahew [28]3 years ago
3 0

Answer:

(-1, -2)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination
  • Solving systems of equations by graphing

Step-by-step explanation:

<u>Step 1: Define Systems</u>

-2x + y = 0

5x + 3y = -11

<u>Step 2: Rewrite Systems</u>

-2x + y = 0

  1. Add 2x on both sides:                    y = 2x

<u>Step 3: Redefine Systems</u>

y = 2x

5x + 3y = -11

<u>Step 4: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                         5x + 3(2x) = -11
  2. Multiply:                                    5x + 6x = -11
  3. Combine like terms:                11x = -11
  4. Isolate <em>x</em>:                                   x = -1

<u>Step 5: Solve for </u><em><u>y</u></em>

  1. Define equation:                    y = 2x
  2. Substitute in <em>x</em>:                       y = 2(-1)
  3. Multiply:                                  y = -2

<u>Step 6: Graph Systems</u>

<em>Check the solution set.</em>

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Answer:

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Step-by-step explanation:

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The admission fee at an amusement park is $1.50 for children and $4 for adults.

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Now, to find the children and adults admitted in the park.

<u><em>Let the number of children admitted be </em></u>x.<u><em /></u>

<u><em>And the the number of adults admitted be </em></u>y.<u><em /></u>

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