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UkoKoshka [18]
3 years ago
10

Solve the system of equations using the substitution method. -5x − 3y = 16 y = x

Mathematics
2 answers:
Elena-2011 [213]3 years ago
6 0

Answer:

(-2, -2)

Step-by-step explanation:

Make use of the 2nd equation to eliminate x or y in the 1st equation:

-5x - 3(x) = 16

Then -8x = 16, and x = -2.  Since we are told that y = x, y = -2.

The solution is (-2, -2).

max2010maxim [7]3 years ago
3 0

Answer:

-5x - 3x = 16

-8x = 16

x = -2

y = x

Step-by-step explanation:

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kumpel [21]

Answer:

(-3, 13)

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
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Coordinates (x, y)
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

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

y = -4x + 1

11y = x + 146

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

<em>Substitution</em>

  1. Substitute in <em>y</em>:                                                                                                  11(-4x + 1) = x + 146
  2. Distribute 11:                                                                                                      -44x + 11 = x + 146
  3. [Addition Property of Equality] Add 44x on both sides:                                11 = 45x + 146
  4. [Subtraction Property of Equality] Subtract 146 on both sides:                      -135 = 45x
  5. [Division Property of Equality] Divide 45 on both sides:                              -3 = x
  6. Rewrite/Rearrange:                                                                                          x = -3

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

  1. Define original equation:                                                                                 y = -4x + 1
  2. Substitute in <em>x</em>:                                                                                                 y = -4(-3) + 1
  3. Multiply:                                                                                                           y = 12 + 1
  4. Add:                                                                                                                    y = 13
6 0
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