Chapter 4: Q17. (page 157)

Solve each equation.
$[\begin{matrix} 4 x & 3 y \end{matrix}] = [\begin{matrix} 12 & - 1 \end{matrix}]$

Short Answer

Expert verified

The solution is $(3, - \frac{1}{3})$ .

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.

$\begin{matrix} 4 x = 12 \\ 3 y = - 1 \end{matrix}$

– 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.

Divide each side of $3 y = - 1$ by 3 to find the value of y.

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

Therefore, the solution is $(3, - \frac{1}{3})$ .

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Solve each equation.
$[\begin{matrix} 4 x & 3 y \end{matrix}] = [\begin{matrix} 12 & - 1 \end{matrix}]$

Short Answer

Step by step solution

– Description of step.

– Description of step.

– Description of step.

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Solve each equation.4x3y=12-1

Short Answer

Step by step solution

– 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

Theoretical and Mathematical Physics

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Applied Mathematics

Study anywhere. Anytime. Across all devices.

Solve each equation.
$[\begin{matrix} 4 x & 3 y \end{matrix}] = [\begin{matrix} 12 & - 1 \end{matrix}]$