Determine Whether the Two Systems of Linear Equations Yield the Same

question 108

Multiple Choice

Determine whether the two systems of linear equations yield the same solutions.If so, find the solutions using matrices. $$\left\{ \begin{aligned}x + 2 y - 4 z & = - 8 \\y - 7 z & = 4 \\z & = - 1\end{aligned} \right.$$ $$\left\{ \begin{aligned}x - y - 5 z & = 21 \\y - 6 z & = 3 \\z & = - 1\end{aligned} \right.$$

• A)x = 6, y = 3, z = -1
• B)x = -6, y = -3, z = -1
• C)x = 3, y = -1, z = -6
• D)The systems yield different solutions.
• E)x = -3, y = -1, z = -6

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Definitions:

Expression

A combination of symbols, numbers, and operation signs that represents a quantity but does not include an equality sign.

Solve

The act of discovering a solution or answer to a problem or equation in mathematics.

Expression

An expression in mathematics is a combination of numbers, variables, operators, and sometimes parentheses that represents a value.

Solve

The process of finding the value(s) that satisfy an equation, inequality, or system of equations.