The table below shows two equations: Equation 1 |4x − 3|− 5 = 4 Equation 2 |2x + 3| + 8 = 3 Which statement is true about the solution to the two equations? * Equation 1 and equation 2 have no solutions. * Equation 1 has no solution, and equation 2 has solutions x = −4, 1. * The solutions to equation 1 are x = 3, −1.5, and equation 2 has no solution. ** The solutions to equation 1 are x = 3, −1.5, and equation 2 has solutions x = −4, 1.
Accepted Solution
A:
Answer:The solutions to equation 1 are x = 3, −1.5, and equation 2 has no solution.Step-by-step explanation:Rearranging the two equations, you get ...|4x -3| = 9 . . . . . has two solutions|2x +3| = -5 . . . . has no solutions (an absolute value cannot be negative)The above-listed answer is the only one that matches these solution counts._____Testing the above values of x reveals they are, indeed, solutions to Equation 1.