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Chapter 11: Q. 43 (page 756)

In Problems 41-60, use the inverses found in Problems 31-40to solve each system of equations.

2x+y=0x+y=5

Short Answer

Expert verified

The solution for the system of equations 2x+y=0x+y=5is,x=-5,y=10.

Step by step solution

01

Step 1. Given information

2x+y=0x+y=5

The inverse found in problem31is,1-1-12.

02

Step 2. We know that, X=A-1.B

From the given information, B=05.

Substitute the known values in the formula.

xy=XX=1-1-1205=10-15-10+25=0-50+10=-510

So, the solution is, in ordered pairs-5,10orx=-5,y=10.

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