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ale4655 [162]
3 years ago
12

What is the x-value in the solution to this system of linear equations?

Mathematics
2 answers:
Svet_ta [14]3 years ago
4 0

Answer:

x = 4

Step-by-step explanation:

2x - y = 11

x + 3y = -5

To calculate the value of x , firstly we need to find value of y.

solve for y

  • 2x - y = 11

subtract 2x from both side

  • 2x - 2x - y = 11 - 2x
  • -y = 11 - 2x

change the sign of both side of equation

  • y = -11 + 2x

rewrite

  • y = 2x - 11

<u>Solve for x</u>

  • y = 2x - 11
  • x + 3y = -5

substitute the value of y in the equation

  • x + 3( 2x - 11 ) = -5

distribute 3

  • x + 3 × 2x - 3× 11 = -5
  • x + 6x - 33 = -5

combine like terms

  • 7x - 33 = -5

Add 33 on both side

  • 7x - 33 + 33 = -5 + 33
  • 7x = 28

divide both side by 7

  • 7x / 7 = 28 / 7
  • x = 4

Veronika [31]3 years ago
3 0

Answer:

4

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

Distributive Property

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

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

2x - y = 11

x + 3y = -5

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

2x - y = 11

  1. [Subtraction Property of Equality] Subtract 2x on both sides:                      -y = 11 - 2x
  2. [Division Property of Equality] Divide -1 on both sides:                                  y = 2x - 11

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

y = 2x - 11

x + 3y = -5

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

<em>Substitution</em>

  1. Substitute in <em>y</em> [2nd Equation]:                                                                        x + 3(2x - 11) = -5
  2. [Distributive Property] Distribute 3:                                                                 x + 6x - 33 = -5
  3. Combine like terms:                                                                                         7x - 33 = -5
  4. [Addition Property of Equality] Add 33 on both sides:                                  7x = 28
  5. [Division Property of Equality] Divide 7 on both sides:                                  x = 4
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