Question

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.

Answer 1

\[|4x – 3|− 5 = 4\] start by adding 5 to get
\[|4x-3|=9\] then solve
\[4x-3=9\\
4x=12\\
x=3\] and
\[4x-3=-9\\
4x=-6\\
x=-\frac{6}{4}=-\frac{3}{2}\]

Answer 2

\[|2x + 3| + 8 = 3\] start by subtracting \(8\) to get
\[|2x+3|=-5\] which has no solution because the absolute value of anything is always greater than or equal to zero, and therefore cannot be \(-5\)

Answer 3

i would go with this one
The solutions to equation 1 are x = 3, -1.5 and equation 2 has no solution.

Answer 4

thanks i appreciate it! can you help with a few more?

Answer 5

@satellite73