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Chapter 11: Q. 51 (page 741)

In Problems 51–56, solve for x,
$|\begin{array}{l} x & x \\ 4 & 3 \end{array}| = 5$

Short Answer

Expert verified

The value ofx is $- 5$ .

Step by step solution

01

Step 1. Given Information

We are given,

$|\begin{array}{l} x & x \\ 4 & 3 \end{array}| = 5$

We have to find the value ofx.

02

Step 2. Solving the determinant

Solving the determinant, we get

$|\begin{array}{l} x & x \\ 4 & 3 \end{array}| = 5 (x) 3 - 4 (x) = 5 3 x - 4 x = 5 - x = 5 x = - 5$

Hence, the value of x is $- 5$ .

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Most popular questions from this chapter

An area of $52 f e e t^{2}$ is to be enclosed by two squares whose sides are in the ratio of $2 : 3$ . Find the sides of the squares.

Graph each equation of the system. Then solve the system to find the points of intersection.

$\{\begin{cases} y = \sqrt{36 - x^{2}} \\ y = 8 - x \end{cases}$

Solve each system of equations. If the system has no solution, say that it is inconsistent.

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(b) What is the slope of a line parallel to this line?

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