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kondor19780726 [428]
3 years ago
14

Find the solution for the following equations using substitution or elimination:

Mathematics
1 answer:
Dvinal [7]3 years ago
8 0

Answer:

(4, 1)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Algebra I</u>

  • Solving systems of equation using substitution/elimination

Step-by-step explanation:

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

2x - 3y = 5

4x + 2y = 18

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

2x - 3y = 5

y = 9 - 2x

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

  1. Substitute:                              2x - 3(9 - 2x) = 5
  2. Distribute -3:                          2x - 27 + 6x = 5
  3. Combine like terms:              8x - 27 = 5
  4. Add 27 on both sides:           8x = 32
  5. Divide 8 on both sides:         x = 4

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

  1. Define:                    2x - 3y = 5
  2. Substitute:              2(4) - 3y = 5
  3. Multiply:                  8 - 3y = 5
  4. Isolate <em>y</em> term:         -3y = -3
  5. Isolate <em>y</em>:                 y = 1

And we have our final answer!

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