Chapter 4: Q22. (page 157)

Solve each equation.
$[\begin{matrix} 2 x \\ 2 x + 3 y \end{matrix}] = [\begin{matrix} y \\ 12 \end{matrix}]$

Short Answer

Expert verified

The solution is $(\frac{3}{2}, 3)$ .

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.

$\begin{matrix} 2 x = y \\ 2 x + 3 y = 12 \end{matrix}$

– Description of step.

Substitute $2 x$ for $y$ into $2 x + 3 y = 12$ and simplify.

$\begin{matrix} 2 x + 3 (2 x) = 12 \\ 2 x + 6 x = 12 \\ 8 x = 12 \end{matrix}$

– Description of step.

Divide each side of $8 x = 12$ by 8 to find the value of $x$ .

$\begin{matrix} \frac{8 x}{8} = \frac{12}{8} \\ x = \frac{3}{2} \end{matrix}$

– Description of step.

Substitute $\frac{3}{2}$ for $x$ into $2 x = y$ and simplify to find the value of $y$ .

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

Therefore, the solution is $(\frac{3}{2}, 3)$ .

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Solve each equation.
$[\begin{matrix} 2 x \\ 2 x + 3 y \end{matrix}] = [\begin{matrix} y \\ 12 \end{matrix}]$

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.2x2x+3y=y12

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

Recommended explanations on Math Textbooks

Geometry

Decision Maths

Discrete Mathematics

Calculus

Theoretical and Mathematical Physics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Solve each equation.
$[\begin{matrix} 2 x \\ 2 x + 3 y \end{matrix}] = [\begin{matrix} y \\ 12 \end{matrix}]$