Solve the System of Equations Using Elimination $$\left\{ \begin{array} { l } 5 x ^ { 2 } - 2 y ^ { 2 } = 37 \\2 x ^ { 2 } + 2 y ^ { 2 } = 26\end{array} \right.$$

question 96

Multiple Choice

Solve the system of equations using elimination.
- $$\left\{ \begin{array} { l } 5 x ^ { 2 } - 2 y ^ { 2 } = 37 \\2 x ^ { 2 } + 2 y ^ { 2 } = 26\end{array} \right.$$

• A) \(x = 3 , y = 2 ; x = - 3 , y = 2 ; x = 3 , y = - 2 ; x = - 3 , y = - 2\)
• B) \(x = 3 , y = 2 ; x = 2 , y = 3 ; x = - 3 , y = - 2 ; x = - 2 , y = - 3\)
• C) \(x = - 3 , y = - 2 ; x = - 2 , y = - 3\)
• D) \(x = 3 , y = - 2 ; x = 3 , y = 2\)

---

Definitions:

Adjusted Gross Income

is an individual's total gross income minus specific deductions, used to determine tax liability.

Schedule A

A form used for itemizing deductions on a U.S. individual income tax return, including taxes paid, interest, gifts to charity, and other deductible expenses.

Property Tax

A rephrased definition: A levy on property that the owner is required to pay, usually collected by local governments, based on the property's value.

Sales Tax

A tax imposed by a government on the sale of goods and services.