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Chapter 11: Q. 20 (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.

4x+5y=-3-2y=-4

Short Answer

Expert verified

The solution isx=-134,y=2andinorderedpairis-134,2.

Step by step solution

01

Step 1. Given Information 

The given system of equation is

4x+5y=-3-2y=-4

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=450-2D=4-2-50D=-8-0D=-8

SinceD鈮�0 Cramer's rule is applicable.

03

Step 3. Use Cramer's rule 

Let's findDxandDy

Dx=-35-4-2Dx=-3-2-5-4Dx=6+20Dx=26

And

localid="1647428597203" Dy=4-30-4Dy=4-4--30Dy=-16+0Dy=-16

04

Step 4. Finding x and y 

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

x=DxDandy=DyDx=26-8andy=-16-8x=-134andy=2

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Most popular questions from this chapter

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

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