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Chapter 5: Q. 346 (page 679)

In the following exercises, solve the systems of equations by substitution.

y=-13x+2x+3y=6

Short Answer

Expert verified

The given system of equations has infinitely many solutions.

Step by step solution

01

Step 1. Given Information

The given system of equations isy=-13x+2x+3y=6.

02

Step 2. Determine the solutions of the equations

  • Substitute y=-13x+2into the second given equation.

x+3(-13x+2)=6x-x+6=66=6

  • Since the obtained equation is always true, the given system of equations has infinitely many solutions.

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