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Chapter 5: Q72. (page 228)

Solve the following system of equations?

x+y=5x+y+z=42x鈭�y+2z=鈭�1

Short Answer

Expert verified

The solution for the system of equations isx=2,y=3,z=鈭�1 .

Step by step solution

01

Step 1. Write down the given information.

The given system of equations are,

x+y=5....(1)x+y+z=4....(2)2x鈭�y+2z=鈭�1....(3)

02

Step 2. Calculation.

From (1) plugging x+y=5 in (2) gives,

Plugging z=鈭�1 in (3),

2x鈭�y+2z=鈭�1....(From(3))2x鈭�y+2(鈭�1)=鈭�1....(Pluggingz=鈭�1)2x鈭�y鈭�2=鈭�12x鈭�y=1....(4)

Adding (1) and (4) gives,

3x=6x=2

Plugging x=2 in (1) gives, .

03

Step 3. Conclusion.

The solution for the system of equations is x=2,y=3,z=鈭�1.

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