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Veronika [31]
3 years ago
9

Solve each system of equation by elimination {y=-x+1 {y= 4x-14

Mathematics
1 answer:
larisa86 [58]3 years ago
3 0

Answer:

(3, -2)

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>

y = -x + 1

y = 4x - 14

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

y = 4x - 14

  1. Multiply everything by -1:                    -y = -4x + 14

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

y = -x + 1

-y = -4x + 14

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

<em>Elimination</em>

  1. Combine equations:                    0 = -5x + 15
  2. Isolate <em>x</em> term:                               -15 = -5x
  3. Isolate <em>x</em>:                                       3 = x
  4. Rewrite:                                        x = 3

<u>Step 5: Check</u>

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