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Viktor [21]
3 years ago
10

Use the substitution method to solve the system of equations. Choose the correct ordered pair.

Mathematics
1 answer:
Vilka [71]3 years ago
3 0

Answer:

(3, 1)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

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

3x + y = 10

y = x - 2

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute:                    3x + (x - 2) = 10
  2. Combine like terms:     4x - 2 = 10
  3. Isolate <em>x </em>term:               4x = 12
  4. Isolate <em>x</em>:                        x = 3

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:          y = x - 2
  2. Substitute in <em>x</em>:                           y = 3 - 2
  3. Subtract:                                     y = 1

And we have our answer!

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Please Help.
Gennadij [26K]
Answer:
amount of nuts = 2 pounds
amount of dried fruit = 4 pounds

Explanation:
We are given that x is the amount of nuts and y is the amount of dried fruit.
We are also given that:
1- Hunter needs to make 6 pounds of trail mix. This means that:
x + y = 6
This can be rewritten as:
x = 6 - y .........> equation I
2- x costs $4 per pound, y costs $3.5 and Hunter can spend a total of $22. This means that:
4x + 3.5y = 22 ..........> equation II

Substitute with equation I in equation II and solve for y as follows:
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