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?

Equation 1 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

General example;
\(\color{#000000 }{ \displaystyle |ax-b|=c }\)

\(\color{#000000 }{ \displaystyle ax-b=c }\) or \(\color{#000000 }{ \displaystyle ax-b=-c }\)
\(\color{#000000 }{ \displaystyle ax=b+c }\) or \(\color{#000000 }{ \displaystyle ax=b-c }\)

So the answer would be:
\(\color{#000000 }{ \displaystyle x=(b+c)/a }\) or \(\color{#000000 }{ \displaystyle x=(b-c)/a }\)

Answer 2

confused... :/

Answer 3

Do you know what absolute value is?

Answer 4

\(\color{#000000 }{ \displaystyle |x| }\) - "absolute value of x".