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

Infinite points

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition 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

FunctionsTerms/CoefficientsSolving 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

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

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

∴ We have an infinite amount of solutions.