Question

The table below shows two equations.

Equation 1 |2x – 3| + 5 = 4
Equation 2 |5x + 3| – 10 = 3


Which statement is true about the solution to the two equations?
Equation1 and equation 2 have no solutions.

Equation 1 has no solution and equation 2 has solutions x = 2, -3.2.

The solutions to equation 1 are x = 1, 2 and equation 2 has no solution.

The solutions to equation 1 are x = 1, 2 and equation 2 has solutions x = 2, -3.2.

Answer 1

B

Explanation:

Answer 2

Equation 1:
| 2 x - 3 | + 5 = 4
| 2 x - 3 | = -1
There are no solutions.
Equation 2:
| 5 x + 3 | - 10 = 3
| 5 x + 3 | = 13
5 x + 3 = 13 and : 5 x + 3 = - 13
5 x = 10 5 x = - 16
x = 2 x = - 3.2
Answer:
B ) Equation 1 has no solution and equation 2 has solutions x = 2, - 3.2.