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Solve the system of equations by the substitution method.
y = x + 9x + 5
?
y = -x + 11x + 29
Select the correct choice below and, if necessary, fill in the answer box to complete
O A. The solution set is {
(Type an ordered pair. Use a comma to separate answers if needed.)
OB. There is no solution.

Respuesta :

Space

Answer:

B. There is no solution.

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

Equality Properties

Algebra I

  • Solving systems of equations using substitution/elimination
  • Solving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

y = x + 9x + 5

y = -x + 11x + 29

Step 2: Simplify systems

y = 10x + 5

y = 10x + 29

Step 3: Solve for x

Substitution

  1. Substitute in y:                              10x + 5 = 10x + 29
  2. Subtract 10x on both sides:          5 ≠ 29

Here we see that 5 does not equal 29.

∴ The systems has no solutions.

Step 4: Graph systems

Check the solution set (if applicable).

We see that the 2 lines are parallel and will never intersect. Therefore, this proves that our systems has no solution.

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