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Chapter 11: Q. 56 (page 741)

In Problems 51鈥�56, solve for x,

x121x3012=-4x

Short Answer

Expert verified

The value of xis 0or13.

Step by step solution

01

Step 1. Given Information

We are given,

x121x3012=-4x

We have to find the value of x.

02

Step 2. Solving the determinant  

Solving the determinant, we get

x121x3012=-4x(-1)1+1脳x脳x312+(-1)2+1脳1脳1212+(-1)3+1脳0脳12x3=-4xx(3x-3)-1(0)+0=-4x3x2-3x+4x=03x2+x=0x(3x-1)=0x=0

or

3x-1=0x=13

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Most popular questions from this chapter

The Tortoise and the Hare: In a 21-meter race between a tortoise and a hare, the tortoise leaves 9 minutes before the hare. The hare, by running at an average speed of 0.5 meter per hour faster than the tortoise, crosses the finish line 3minutes before the tortoise. What are the average speeds of the tortoise and the hare?

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

2x+y-3z=0-2x+2y+z=-73x-4y-3z=7

Verify that the values of the variables listed are solutions of the system of equations.

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In Problems 5鈥�24, graph each equation of the system. Then solve the system to find the points of intersection.

x2=y;xy=1

In Problems 23鈥�34, graph each system of linear inequalities by hand. Verify your results using a graphing utility

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