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Chapter 11: Q. 41 (page 756)

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

2x+y=8x+y=5

Short Answer

Expert verified

The solution of the system of equations 2x+y=8x+y=5is,3,2.

Step by step solution

01

Step 1. Given information

2x+y=8x+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=85

Substitute the known values in the formula.

role="math" localid="1647416830279" X=1-1-1285=1脳8-15-1脳8+10=8-5-8+10=32

So, the obtained solution is,x=3,y=2or using ordered pair3,2.

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Most popular questions from this chapter

In Problems 5鈥�24, graph each equation of the system. Then solve the system to find the points of intersection.

xy=4;x2+y2=8

Solve each system of equations. If the system has no solution, say that it is inconsistent.

3x-2y+2z=67x-3y+2z=-12x-3y+4z=0

Solve each system of equations. If the system has no solution, say that it is inconsistent.

2x+y-3z=0-2x+2y+z=-73x-4y-3z=7

In Problems 5鈥�24, graph each equation of the system. Then solve the system to find the points of intersection.

x2+y2=4;y2-x=4

In Problems 5鈥�24, graph each equation of the system. Then solve the system to find the points of intersection.

x2+y2=8;x2+y2+4y=0
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