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alisha [4.7K]
3 years ago
7

How do I do this problem with solution by elimination? 2x+y=3 -2x+5y=-9

Mathematics
1 answer:
ddd [48]3 years ago
7 0

Answer:

(2, -1)

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

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

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

2x + y = 3

-2x + 5y = -9

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

<em>Elimination</em>

  1. Combine equations:                    6y = -6
  2. Divide 6 on both sides:               y = -1

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

  1. Define equation:                    2x + y = 3
  2. Substitute in <em>y</em>:                       2x - 1 = 3
  3. Isolate <em>y</em> term:                        2x = 4
  4. Isolate <em>y</em>:                                 x = 2
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