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Chapter 11: Q. 22 (page 740)

In Problems 15 鈥� 42, solve each system of equations using Cramer鈥檚 Rule if it is applicable. If Cramer鈥檚 Rule is not applicable, say so.

2x+4y=163x-5y=-9

Short Answer

Expert verified

The solution isx=2,y=3andinorderedpairis2,3.

Step by step solution

01

Step 1. Given Information 

The given system of equation is

2x+4y=163x-5y=-9

We have to solve the system of equations using Cramer's rule if it is applicable.

02

Step 2. Finding the determinant 

The determinant D of the coefficients of the variables is

D=243-5D=2-5-43D=-10-12D=-22

Since D鈮�0Cramer's rule is applicable.

03

Step 3. Use Cramer's rule 

Let's findDxandDy

Dx=164-9-5Dx=16-5-4-9Dx=-80+36Dx=-44

And

Dy=2163-9Dy=2-9-163Dy=-18-48Dy=-66

04

Step 4. Finding x and y 

By using Cramer's rule, the values of xand yare

x=DxDandy=DyDx=-44-22andy=-66-22x=2andy=3

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Most popular questions from this chapter

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