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Irina18 [472]
3 years ago
14

PLS HELP solve the system of equation using elimination: 3x+y=-2 5x-y=-10

Mathematics
1 answer:
vredina [299]3 years ago
5 0

Answer:

(-3/2, 5/2)

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 = -2

5x - y = -10

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

<em>Eliminate y</em>

  1. Add 2 equations together:                     8x = -12
  2. Divide 8 on both sides:                           x = -12/8
  3. Simplify fraction:                                      x = -3/2

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

  1. Define original equation:                    3x + y = -2
  2. Substitute in <em>x</em>:                                     3(-3/2) + y = -2
  3. Multiply:                                                -9/2 + y = -2
  4. Add 9/2 on both sides:                        y = 5/2
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Third step

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\huge\text{$k=\boxed{117}$}

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