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Chapter 11: Q. 48 (page 756)

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

-4x+y=56x-2y=-9

Short Answer

Expert verified

The solution for the system of equations-4x+y=56x-2y=-9is,x=-12,y=3.

Step by step solution

01

Step 1. Given information

-4x+y=56x-2y=-9

The inverse found in problem34is,-1-12-3-2.

02

Step 2. We know that, X=A-1.B

From the given information, B=5-9.

Substitute the known values in the formula.

xy=XX=-1-12-3-25-9=-15-12-9-35-2-9=-5+92-15+18=-123

So, the solution is, x=-12,y=3or in ordered pairs-12,3.

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