Q19. Solve each equation.4x-33y713=9-... [FREE SOLUTION]

Chapter 4: Q19. (page 157)

Solve each equation.
$[\begin{matrix} 4 x - 3 & 3 y \\ 7 & 13 \end{matrix}] = [\begin{matrix} 9 & - 15 \\ 7 & 2 z + 1 \end{matrix}]$

Short Answer

Expert verified

The solution is $(3, - 5, 6)$ .

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.

$\begin{matrix} 4 x 鈭� 3 = 9 \\ 3 y = 鈭� 15 \\ 13 = 2 z + 1 \end{matrix}$

– Description of step.

Add 3 on both the sides of $4 x - 3 = 9$ and simplify.

$\begin{matrix} 4 x 鈭� 3 + 3 = 9 + 3 \\ 4 x = 12 \end{matrix}$

– 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.

Divide each side of $3 y = - 15$ by 3 to find the value of $y$ .

$\begin{matrix} \frac{3 y}{3} = \frac{鈭� 15}{3} \\ y = 鈭� 5 \end{matrix}$

– Description of step.

Subtract $1$ from both the sides of $13 = 2 z + 1$ and simplify.

$\begin{matrix} 13 鈭� 1 = 2 z + 1 鈭� 1 \\ 12 = 2 z \end{matrix}$

– Description of step.

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

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

Therefore, the solution is $(3, - 5, 6)$ .

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Solve each equation.
$[\begin{matrix} 4 x - 3 & 3 y \\ 7 & 13 \end{matrix}] = [\begin{matrix} 9 & - 15 \\ 7 & 2 z + 1 \end{matrix}]$

Short Answer

Step by step solution

– Description of step.

– Description of step.

– Description of step.

– Description of step.

– Description of step.

– Description of step.

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91影视

Solve each equation.4x-33y713=9-1572z+1

Short Answer

Step by step solution

– Description of step.

– 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

Logic and Functions

Mechanics Maths

Applied Mathematics

Probability and Statistics

Discrete Mathematics

Pure Maths

Study anywhere. Anytime. Across all devices.

Solve each equation.
$[\begin{matrix} 4 x - 3 & 3 y \\ 7 & 13 \end{matrix}] = [\begin{matrix} 9 & - 15 \\ 7 & 2 z + 1 \end{matrix}]$