Q:

NEED HELP ASAPWILL GIVE BRAINLIEST!!(02.03)The table below shows two equations:Equation 1 |4x − 3|− 5 = 4Equation 2 |2x + 3| + 8 = 3Which statement is true about the solution to the two equations? (1 point)Select one:a. Equation 1 and equation 2 have no solutions.b. Equation 1 has no solution, and equation 2 has solutions x = −4, 1.c. The solutions to equation 1 are x = 3, −1.5, and equation 2 has no solution.d. The solutions to equation 1 are x = 3, −1.5, and equation 2 has solutions x = −4, 1.

Accepted Solution

A:
When solving an equation with an absolute value term, you make two separate equations ans solve for x:Equation 1: |4x-3|-5 = 41st add 5 to both sides:|4x-3| = 9Remove the absolute value term and make two equations:4x-3 = 9 and 4x - 3 = -9Solving for x you get X = 3 and x = -1.5When you replace x with those values in the original equation the statement is true so those are two solutions.Do the same thing for equation 2:|2x+3| +8 = 3Subtract 8 from both sides:|2x+3| = -5Remove the absolute value term and make two equations:2x +3 = -52x+3 = 5Solving for x you get -1 and 4, but when you replace x in the original equation with those values, the statement is false, so there are no solutions.The answer is:C. The solutions to equation 1 are x = 3, −1.5, and equation 2 has no solution.