Chapter 4: Q6. (page 156)

Solve each equation.
$[\begin{matrix} x + 4 \\ 2 y \end{matrix}] = [\begin{matrix} 9 \\ 12 \end{matrix}]$

Short Answer

Expert verified

The solution is $(5, 6)$ .

Step by step solution

– Description of step.

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

$\begin{matrix} x + 4 = 9 \\ 2 y = 12 \end{matrix}$

– Description of step.

Divide each side of $2 y = 12$ by 2 to find the value of $y$ .

$\begin{matrix} \frac{2 y}{2} = \frac{12}{2} \\ y = 6 \end{matrix}$

– Description of step.

Subtract 4 from both the sides of $x + 4 = 9$ and simplify to find the value of x.

\begin{matrix} x + 4 - 4 = 9 - 4 \\ x = 5 \end{matrix}

Therefore, the solution is $(5, 6)$ .

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Solve each equation.
$[\begin{matrix} x + 4 \\ 2 y \end{matrix}] = [\begin{matrix} 9 \\ 12 \end{matrix}]$

Short Answer

Step by step solution

– Description of step.

– Description of step.

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Solve each equation.
$[\begin{matrix} x + 4 \\ 2 y \end{matrix}] = [\begin{matrix} 9 \\ 12 \end{matrix}]$