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(02.03)
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? (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.

When solving an equation with an absolute value term, you make two separate equations ans solve for x:

Equation 1: |4x-3|-5 = 4

1st add 5 to both sides:

|4x-3| = 9

Remove the absolute value term and make two equations:

4x-3 = 9 and 4x - 3 = -9

Solving for x you get X = 3 and x = -1.5

When 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 = 3

Subtract 8 from both sides:

|2x+3| = -5

Remove the absolute value term and make two equations:

2x +3 = -5

2x+3 = 5

Solving 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.

you didn't give me the choices, so i will just give you the graph so you can look at your choices and choose the right one.

98%

step-by-step explanation: