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Chapter 11: Q. 11.71 (page 1141)

Solve the system by using substitution.

x2-y=0y=2x-3

Short Answer

Expert verified

The system has no solution.

Step by step solution

01

Step 1. Given Information

The given system of equations isx2-y=0y=2x-3.

02

Step 2. Substitution 

  • Substitute y=2x-3into role="math" localid="1645787160107" x2-y=0and simplify.

x2-2x+3=0

03

Step 3. Find the determinant

Find the determinant b2-4acfor the obtained equation.

role="math" localid="1645787257241" (-2)2-4(1)(3)=4-12=-8

  • As the determinant is less than 0, there is no real solution of x.

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