Q. 82

Question

Make up a system of three linear equations containing three variables that has: (a) No solution (b) Exactly one solution (c) Infinitely many solutions Give the three systems to a friend to solve and critique.

Step-by-Step Solution

Verified

Answer

a)The system of the equation having no solution is :

$\{\begin{cases} 2 x + 4 y + 6 z = & 1 \\ 4 x + 8 y + 12 z = & 2 \\ 6 x + 12 y + 18 z = & 3 \end{cases}$

1Step 1. Given information:

We have to make three different systems of the equation of 3 variables having no solution, unique solution, and infinite solutions.

2Step 2. To make system of equations:

System:

Q. 84

Q 1.

Other exercises in this chapter

Q. 83

Write a brief paragraph outlining your strategy for solving a system of two linear equations containing two variables.

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Q. 84

Do you prefer the method of substitution or the methodof elimination for solving a system of two linear equations containing two variables? Give reasons.

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Q 1.

An m by n rectangular array of numbers is called a(n) ________.

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Q 2.

The matrix used to represent a system of linear equations is called a(n) ______ matrix.

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