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Chapter 11: Q. 37 (page 729)

Solve each system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.

x+y=8x-y=4

Short Answer

Expert verified

The required solution is(x,y)=(6,2)

Step by step solution

01

Step 1. Given Information

The given equations are

x+y=8x-y=4

02

Step 2. Calculation

We will first write the augmented matrix, by writing constants on right side of vertical bar.

11|81-1|4

Now, we will make the entry 0 in row 2 by performing the row operation R2=r2-r1and then R2=r2-2

localid="1647364426299" 11|81-1|4鈫�11|80-2|-4鈫�11|801|2

03

Step 3. Calculation

Use the obtained matrix to write the system of equations.

x+y=8鈬�x=6y=2

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Most popular questions from this chapter

Verify that the values of the variables listed are solutions of the system of equations.

x-y=3-3x+y=1x=-2,y=-5;-2,-5

Graph each inequality by hand.

x2+y2鈮�9

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

x2=y;xy=1

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 23鈥�34, graph each system of linear inequalities by hand. Verify your results using a graphing utility

2x+y鈮�02x+y鈮�2
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