Question

Write an equation that has one solution, an equation that has no solution and an equation that has infinite many solutions. Each equation have one variable term on each side and a total of four terms

Answer 1

Answer:

• 3x + 4 = 9x -6
• 3x + 4 = 3x + 5
• 9x + 6 = 9x + 6

Step-by-step explanation:

Let x is the variable in each type of equation

1/ an equation that has one solution:

3x + 4 = 9x -6

<=> 9x - 3x = 4+6

<=> 6x = 10

<=> x = $\frac{10}{6}$

2/ an equation that has no solution:

3x + 4 = 3x + 5

<=> 3x - 3x = 5-4

<=> 0 = 1 impossible

3/ an equation that has infinite many solutions:

9x + 6 = 9x + 6

<=> 9x - 9x = 6 -6

<=> 0 = 0 (obvious)  no matter what we put in for  x

Hope it will find you well.