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Umnica [9.8K]
3 years ago
14

У = 2х +7 y = x+8 using substitution

Mathematics
2 answers:
Mkey [24]3 years ago
5 0

Answer:

(1, 9)

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

Step-by-step explanation:

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

y = 2x + 7

y = x + 8

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

<em>Substitution</em>

  1. Substitute in <em>y</em>:                         2x + 7 = x + 8
  2. Subtract <em>x</em> on both sides:        x + 7 = 8
  3. Subtract 7 on both sides:        x = 1

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

  1. Define equation:                     y = x + 8
  2. Substitute in <em>x</em>:                        y = 1 + 8
  3. Add:                                         y = 9
Delvig [45]3 years ago
3 0

Answer:

x = 1

y = 9

Step-by-step explanation:

y = 2x + 7 --------------------(I)

y = x + 8 ----------------------(II)

Substitute y = 2x + 7 in equation (I)

    2x + 7 = x + 8           {Subtract 'x' from both sides}

2x + 7 - x = 8                 {Combine like terms}

      x + 7 = 8                  {Subtract 7 from both sides}

           x  = 8 -7

x = 1

Substitute x = 1 in equation (I)

y = 2*1 + 7

 = 2 + 7

y = 9

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