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Chapter 11: Q. 27 (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-3y=-110x+10y=5

Short Answer

Expert verified

The solution isx=110,y=25andinorderedpairis110,25.

Step by step solution

01

Step 1. Given Information  

The given system of equation is

2x-3y=-110x+10y=5

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=2-31010D=210--310D=20--30D=50

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

03

Step 3. Use Cramer's rule 

Let's findDxandDy

Dx=-1-3510Dx=-110--35Dx=-10+15Dx=5

And

Dy=2-1105Dy=25--110Dy=10+10Dy=20

04

Step 4. Finding x and y  

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

x=DxDandy=DyDx=550andy=2050x=110andy=25

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