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

\[|2x – 3| + 5 = 4\\|2x – 3| = 4-5\\|2x – 3| =-1 <0\]

Answer 2

\[|somthing|\ge 0\]

Answer 3

so eq 1 has no answer

Answer 4

So its a or b

Answer 5

\[|5x + 3| – 10 = 3\\|5x + 3| = 3+10\\|5x + 3|=13\]
equation 2 has answer

to solve \[|somethimg|=+number\\something =\pm number\\like-this\\|u|=5 \rightarrow u=\pm 5\]
can you go on ?

Answer 6

No, sorry

Answer 7

Got it, it's B

Answer 8

\[|5x+3|=13\\5x+3=\pm13\\first\\5x+3=13 \rightarrow5x=13-3=10 \rightarrow x=\frac{10}{5}=2\\second\\5x+3=-13 \ \rightarrow 5x=-16 \rightarrow x=\frac{-16}{5}\]