Linear Equations with Two Variables: false statements and infinite solutions

Examples with solutions for Linear Equations with Two Variables: false statements and infinite solutions

Exercise #1

Solve the following system of equations:

{5xy=010x2y=0 \begin{cases} 5x-y=0 \\ 10x-2y=0 \end{cases}

Video Solution

Answer

There are infinite solutions.

Exercise #2

2x2y=10 2x-2y=10

4x4y=32 4x-4y=32

Video Solution

Answer

No solution

Exercise #3

x+y=0 x+y=0

x+y=10 x+y=10

Video Solution

Answer

No solution

Exercise #4

Solve the following system of equations:

{3xy=109x3y=15 \begin{cases} 3x-y=-10 \\ 9x-3y=-15 \end{cases}

Video Solution

Answer

There is no solution.

Exercise #5

3xy=5 3x-y=-5

9x3y=15 9x-3y=-15

Video Solution

Answer

Infinite solutions

Exercise #6

xy=8 x-y=8

2x2y=16 2x-2y=16

Video Solution

Answer

Infinite solutions

Exercise #7

x2+y=3 \frac{x}{2}+y=3

x+2y=6 x+2y=6

Video Solution

Answer

Infinite solutions