Chapter 4: Q16. (page 157)

Solve each equation.
$[\begin{matrix} 2 x & 3 & 3 z \end{matrix}] = [\begin{matrix} 5 & 3 y & 9 \end{matrix}]$

Short Answer

Expert verified

The solution is $(2.5, 1, 3)$ .

Step by step solution

– Description of step.

As the matrices are equal, the corresponding elements are equal. Write the three linear equations to show this equality.

$\begin{matrix} 2 x = 5 \\ 3 y = 3 \\ 3 z = 9 \end{matrix}$

– Description of step.

Divide each side of $2 x = 5$ by 2 to find the value of $x$ .

$\begin{matrix} \frac{2 x}{2} = \frac{5}{2} \\ x = 2.5 \end{matrix}$

– Description of step.

Divide each side of $3 y = 3$ by 3 to find the value of $y$ .

$\begin{matrix} \frac{3 y}{3} = \frac{3}{3} \\ y = 1 \end{matrix}$

– Description of step.

Divide each side of $3 z = 9$ by 3 to find the value of $z$ .

\begin{matrix} \frac{3 z}{3} = \frac{9}{3} \\ z = 3 \end{matrix}

Therefore, the solution is $(2.5, 1, 3)$ .

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Solve each equation.
$[\begin{matrix} 2 x & 3 & 3 z \end{matrix}] = [\begin{matrix} 5 & 3 y & 9 \end{matrix}]$

Short Answer

Step by step solution

– Description of step.

– Description of step.

– Description of step.

– Description of step.

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Solve each equation.2x33z=53y9

Short Answer

Step by step solution

– Description of step.

– Description of step.

– Description of step.

– Description of step.

One App. One Place for Learning.

Most popular questions from this chapter

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Solve each equation.
$[\begin{matrix} 2 x & 3 & 3 z \end{matrix}] = [\begin{matrix} 5 & 3 y & 9 \end{matrix}]$