Solve the System of Equations by Substitution, If a Solution $$\left\{ \begin{array} { l } - 6 x + 6 y = 66 \\- 3 x + 4 y = 42\end{array} \right.$$

question 92

Multiple Choice

Solve the system of equations by substitution, if a solution exists.
- $$\left\{ \begin{array} { l } - 6 x + 6 y = 66 \\- 3 x + 4 y = 42\end{array} \right.$$

• A) \(x = - 3 , y = 10\)
• B) \(x = - 2 , y = 10\)
• C) No solution
• D) \(x = - 2 , y = 9\)

---

Definitions:

Powdered Sugar

Finely ground sugar, often mixed with a small amount of anti-caking agent to prevent clumping, used in baking and confectionery.

Sugar Cube

A small, solid piece of refined sugar, typically used to sweeten beverages.

Electrolyte

A substance that produces an electrically conducting solution when dissolved in a polar solvent, such as water.

Dissociates

To split into separate smaller atoms, ions, or molecules, especially in the context of dissolving in a solution.