Question

Which of the following expressions can be set

equal to 2.74x - 7.9 to form an equation that
has no solution?
A 2.74x - 7.9
B 7.9x - 7.9
C 2.74x + 7.9
D 7.9x + 2.74

Answer 1

Given:

The expression is:

`2.74x-7.9`

To find:

The expressions that can be set equal to the given expression to form an equation that has no solution.

Solution:

We have,

`2.74x-7.9` ...(i)

An expression whose constant term is different from the given expression but the variable term is same as the given expression, i.e., 2.74, is the required expression.

The expression with same variable term and different constant term is:

`2.74x+7.9` ...(ii)

Because on equating (i) and (ii), we get

`2.74x-7.9=2.74x+7.9`

`-7.9=7.9`

This statement is false for any value of x. So, the equation
`2.74x-7.9=2.74x+7.9` has no solution.

Therefore, the correct option is C.