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a+4b=-4 a+10b=-16
how to solve this problem ​

Sagot :

Space

Answer:

a = 4

b = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Algebra I

  • Equality Properties
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

a + 4b = -4

a + 10b = -16

Step 2: Rewrite Systems

a + 4b = -4

  1. Subtract 4b on both sides:          a = -4 - 4b

Step 3: Redefine Systems

a = -4 - 4b

a + 10b = -16

Step 4: Solve for b

Substitution

  1. Substitute in a:                    -4 - 4b + 10b = -16
  2. Combine like terms:            -4 + 6b = -16
  3. Isolate b term:                     6b = -12
  4. Isolate b:                              b = -2

Step 5: Solve for a

  1. Define equation:                    a + 4b = -4
  2. Substitute in b:                       a + 4(-2) = -4
  3. Multiply:                                  a - 8 = -4
  4. Isolate a:                                 a = 4
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