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Chapter 11: Q. 15 (page 740)

Solve the system of equations using Cramer鈥檚 Rule if it is applicable. If Cramer鈥檚 Rule is not applicable, say so.

x+y=8x-y=4

Short Answer

Expert verified

x=6y=2

Step by step solution

01

Step 1. Given information

We have been given a system of equations:

x+y=8x-y=4

We have to solve this system of equations using Cramer鈥檚 Rule if it is applicable.

02

Step 2. Check determinant 

111-1=1脳(-1)-1脳1=-1-1=-2

Since the determinant is non zero, so Cramer's rule is applicable.

03

Step 3. Use Cramer's rule

Find Dxand Dy.

Dx=814-1=8脳(-1)-4脳1=-8-4=-12

Dy=1814=1脳4-1脳8=4-8=-4

04

Step 4. Find x and y

x=DxD=-12-2=6y=DyD=-4-2=2

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Most popular questions from this chapter

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