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barxatty [35]
3 years ago
12

Solve the system using linear combinations. –5x + y = 1 9x – 2y = 4

Mathematics
2 answers:
larisa [96]3 years ago
8 0
Multiply first equation with 2. Then add first and second, we get -x=6. X=-6 and y=-29
noname [10]3 years ago
8 0

Answer:

(-6, -29)

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>

-5x + y = 1

9x - 2y = 4

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

-5x + y = 1

  1. Add 5x on both sides:                    y = 5x + 1

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

y = 5x + 1

9x - 2y = 4

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

<em>Substitution</em>

  1. Substitute in <em>y</em>:                    9x - 2(5x + 1) = 4
  2. Distribute -2:                       9x - 10x - 2 = 4
  3. Combine like terms:           -x - 2 = 4
  4. Isolate <em>x</em> term:                     -x = 6
  5. Isolate <em>x</em>:                              x = -6

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

  1. Define equation:                     -5x + y = 1
  2. Substitute in <em>x</em>:                         -5(-6) + y = 1
  3. Multiply:                                    30 + y = 1
  4. Isolate <em>y</em>:                                   y = -29
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