Question

Given that 2x + 7 = 27 and 3x + 1 = 28, does 2x + 7 = 3x + 1? Explain

Answer 1

Given that 2x + 7 = 27 and 3x + 1 = 28, then
`2x + 7 \\eq 3x + 1`

Solution:

Given that 2x + 7 = 27 and 3x + 1 = 28

We have to find whether 2x + 7 = 3x + 1

Let us first solve the given equations and then check if they are equal or not

Solve each of the above equations are "x"

Move the variable to one side and constants to other side

`2x + 7 = 27\\\\2x = 27 - 7\\\\2x = 20\\\\x = (20)/(2)\\\\x = 10`

Now let us solve 3x + 1 = 28

`3x + 1 = 28\\\\3x = 28 - 1\\\\3x = 27\\\\x = (27)/(3)\\\\x = 9`

On comparing, both the results x = 10 and x = 9 , they are not equal

`10\\eq 9`

Therefore,

`2x + 7 \\eq 3x + 1`

Thus, 2x + 7 is not equal to 3x + 1