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Chapter 5: Q. 5.6 (page 621)

Solve the system by elimination.x+2y=6y=-12x+3.

Short Answer

Expert verified

The sgiven ystem has infinitely many solutions.

Step by step solution

01

Step 1. Given information

The given system isx+2y=6y=-12x+3.

02

Step 2. Remove the fraction

x+2y=6y=-12x+3Givenx+2y=612x+y=3Writeinstandardformx+2y=6212x+y=2(3)Multiplythesecondequationonbothsideswith2x+2y=6x+2y=6Simplify

03

Step 2. Find the solution

x+2y=6x+2y=6

The two equations are the same.

The graphs are overlapped.

Hence, the system has infinitely many solutions.

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