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?

A. Equation 1 and equation 2 have no solutions.

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

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

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

Question

Lillianna Wright

Mathematics

29 September, 05:56

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?

A. Equation 1 and equation 2 have no solutions.

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

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

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

+5

Answers (1)

Know the Answer?

Cassidy Escobar · Answer 1

Equation 1

Subtracting 5 from both sides we have

|2x - 3| = - 1 - Since an absolute values must be positive this equation has no solutions.

Equation 2:-

|5x + 3| - 10 = 3

|5x + 3| = 13

either 5x + 3 = 13 or 5x + 3 = - 13

so x = 2 or x = - 16/5 = - 3.2

The correct choice is B