Solve Each System of Equations Using Matrices (Row Operations) $$\left\{ \begin{aligned}3 x + 9 y - z & = 53 \\x - 9 y + 9 z & = 11 \\- 4 x + y + z & = 5\end{aligned} \right.$$

question 204

Multiple Choice

Solve each system of equations using matrices (row operations) . If the system has no solution, say that it is inconsistent.
- $$\left\{ \begin{aligned}3 x + 9 y - z & = 53 \\x - 9 y + 9 z & = 11 \\- 4 x + y + z & = 5\end{aligned} \right.$$

• A) \(x = 2 , y = 6 , z = 7\)
• B) \(x = - 2 , y = 6 , z = 4\)
• C) \(x = 2 , y = 7 , z = 6\)
• D) Inconsistent

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Definitions:

Doubled

A term indicating that a quantity, value, or size has increased by 100 percent, resulting in its multiplication by two.

Stayed The Same

A condition where no change or variation has occurred over a specified period.

Quantity Theory

An economic theory that proposes a direct relationship between the quantity of money in an economy and the level of prices of goods and services.

Doubled

Refers to an increase by 100% or a situation where a quantity has become twice as large.