Use the drop-down menus to complete each equation so the statement about its solution is true. The drop down menus consist of numbers 0-9

Question

asked Feb 24, 2020 10.9k views

2 Answers

Yeseanul · Answer 1 · 2020-02-29T19:19:27+0000

A)

No solution--

No solution is obtained when there is a condition such that the equation gives a absurd condition.

Hence we write our equation as:

2x+9+3x+x=6x+1

Hence, we have:

6x+9=6x+1

i.e. we have: 9=1

which is a contradiction.

Hence, we get no solution.

B)

One solution--

One solution or unique solution is obtained when we obtain a unique value for our given variable.

i.e. if we write our equation as:

2x+9+3x+x=5x+1

i.e. 6x+9=5x+1

i.e. x= -8

Hence, we get a unique value for x.

C)

Infinite many solution--

The infinite many solution is where we get a condition such that we could not get a unique value for x but the equation is true.

Hence, we have:

2x+9+3x+x=6x+9

i.e. 6x+9=6x+9

as left hand side of equation is equal to right hand side of the equation for every ''x'' Hence, we get infinite many solution.