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At what point do these lines intersect? A
-24x - 4y =-164
y=41 - 6x

At What Point Do These Lines Intersect A 24x 4y 164 Y41 6x class=

Sagot :

Space

Answer:

Infinite points

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  

Distributive Property

Equality Properties

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

Algebra I

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

Step-by-step explanation:

Step 1: Define Systems

-24x - 4y = -164

y = 41 - 6x

Step 2: Solve for x

  1. Substitute in y [1st Equation]:                                                                           -24x - 4(41 - 6x) = -164
  2. [Distributive Property] Distribute -4:                                                                -24x - 164 + 24x = -164
  3. [Addition] Combine like terms:                                                                       -164 = -164

Here we see that -164 does indeed equal -164.

∴ We have an infinite amount of solutions.

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