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Chapter 11: Q. 29 (page 794)

Use Cramer鈥檚 Rule, if applicable, to solve each system.

x-2y=43x+2y=4

Short Answer

Expert verified

Ordered pair is(2,-1)

Step by step solution

01

Step 1. Given information is

x-2y=43x+2y=4

02

Step 2. Finding determinants we get,

D=1-232D=(1)(2)-(-2)(3)D=2+6D=8D鈮�0

Using crammer's rule we getx=DxD,y=DyD

03

Step 3. Solving for Dx, Dy  we get

Dx=4-242Dx=4(2)-(-2)(4)Dx=8+8Dx=16

Dy=1434Dy=(1)(4)-(4)(3)Dy=4-12Dy=-8

04

Step 4. Now value of x and y

x=DxDx=168x=2y=DyDy=-88y=-1

The ordered pair we have is(2,-1)

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Most popular questions from this chapter

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

x=2y;x=y2-2y

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

y=4-x2;y=2x+4

(a) Graph the line : 3x+4y=12.

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

Graph each inequality by hand.

x2+y2鈮�9

Graph each inequality by hand.

y鈮�2
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