Question

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

Answer 1

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

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.