Chapter 4: Q7. (page 156)

Solve each equation.
$[\begin{matrix} 9 & 13 \end{matrix}] = [\begin{matrix} x + 2 y & 4 x + 1 \end{matrix}]$

Short Answer

Expert verified

The solution is $(3, 3)$ .

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.

$\begin{matrix} x + 2 y = 9 \\ 4 x + 1 = 13 \end{matrix}$

– Description of step.

Subtract 1 from both the sides of $4 x + 1 = 13$ and simplify.

$\begin{matrix} 4 x + 1 - 1 = 13 - 1 \\ 4 x = 12 \end{matrix}$

– Description of step.

Divide each side of $4 x = 12$ by 4 to find the value of x.

\begin{matrix} \frac{4 x}{4} = \frac{12}{4} \\ x = 3 \end{matrix}

– Description of step.

Substitute 3 for x into $x + 2 y = 9$ and simplify.

\begin{matrix} 3 + 2 y = 9 \\ 2 y = 9 - 3 \\ 2 y = 6 \end{matrix}

– Description of step.

Divide each side of $2 y = 6$ by 2 and simplify to find the value of $y$ .

$\begin{matrix} \frac{2 y}{2} = \frac{6}{2} \\ y = 3 \end{matrix}$

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

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Solve each equation.
$[\begin{matrix} 9 & 13 \end{matrix}] = [\begin{matrix} x + 2 y & 4 x + 1 \end{matrix}]$

Short Answer

Step by step solution

– Description of step.

– Description of step.

– Description of step.

– Description of step.

– Description of step.

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Solve each equation.913=x+2y4x+1

Short Answer

Step by step solution

– Description of step.

– Description of step.

– Description of step.

– Description of step.

– Description of step.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

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Study anywhere. Anytime. Across all devices.

Solve each equation.
$[\begin{matrix} 9 & 13 \end{matrix}] = [\begin{matrix} x + 2 y & 4 x + 1 \end{matrix}]$