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Margarita [4]
3 years ago
7

Solve the given system by substitution.

Mathematics
2 answers:
zzz [600]3 years ago
6 0

-4(2) + 3 = -5
8 - 1 = 7
svetoff [14.1K]3 years ago
5 0

Answer:

(-2/3, -23/3)

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

Step-by-step explanation:

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

-4p + q = -5

p - q = 7

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

p - q = 7

  1. Add <em>q</em> on both sides:                    p = q + 7

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

-4p + q = -5

p = q + 7

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

<em>Substitution</em>

  1. Substitute in <em>p</em>:                    -4(q + 7) + q = -5
  2. Distribute -4:                        -4q - 28 + q = -5
  3. Combine like terms:            -3q - 28 = -5
  4. Isolate <em>q </em>term:                     -3q = 23
  5. Isolate <em>q</em>:                              q = -23/3

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

  1. Define equation:                    p - q = 7
  2. Substitute in <em>q</em>:                       p - (-23/3) = 7
  3. Simplify:                                  p + 23/3 = 7
  4. Isolate <em>p</em>:                                 p = -2/3
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<h3>What is a quadratic equation?</h3>

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given function:-

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brainly.com/question/1214333

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