Question

(02.03) The table below shows two equations: Equation 1 |3x − 1| + 7 = 2 Equation 2 |2x + 1| + 4 = 3 Which statement is true about the solution to the two equations? Equation 1 and equation 2 have no solutions.

Answer 1

We can say that equations 1 and 2 have no solutions.

Explanation:

The equation 1 is |3x − 1| + 7 = 2 ........ (1)

⇒ |3x − 1| = - 5

This equation is invalid as the absolute value of (3x - 1) will always be positive and here it is - 5.

Therefore, this above equation has no solution.

The equation 2 is |2x + 1| + 4 = 3 ........ (2)

⇒ |2x + 1| = - 1

This equation is invalid as the absolute value of (2x + 1) will always be positive and here it is - 1.

Therefore, this above equation has no solution.

Hence, we can say that equations 1 and 2 have no solutions. (Answer)