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Chapter 11: Q. 19 (page 796)

In Problems 19and 20, use Cramer鈥檚 Rule, if possible, to solve each system

4x+3y=-233x-5y=19

Short Answer

Expert verified

The solution of the system is(-2,-5)

Step by step solution

01

Step 1. Given information

System of equations is given as

4x+3y=-233x-5y=19

02

Step 2. Checking for Cramer's rule

First take determinant of the coefficients,

D=433-5=(4)(-5)-(3)(3)=-20-9=-29

SinceD鈮�0, we can use Cramer's rule which isx=DxDandy=DyD

03

Step 3. Finding determinants

For Dxreplace he entries in first column of D by the constants from other side and similarly for Dy,replace second column

Dx=-23319-5=(-23)(-5)-(3)(19)=115-57=58

and

Dy=4-23319=(4)(19)-(-23)(3)=76-(-69)=145

04

Step 4. Finding values

Now substitute the values of determinants as,

x=DxDx=58-29x=-2

y=DyDy=145-29y=-5

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Most popular questions from this chapter

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