Question

Will Someone Please Help Me//: If so thanks <3
(ill Fan)
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?

Answer 1

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 2

@jigglypuff314 you think you could help me?

Answer 3

|4x - 3| - 5 = 4
add 5 to both sides:
|4x - 3| = 9
which implies: 4x - 3 = 9 or 4x - 3 = -9
4x-3 = 9
4x = 12
x = 3
4x-3 = -9
4x = -6
x = -6/4 = -3/2
Therefore, the solution to equation 1 are: 3, -3/2

Equation 2:

Answer 4

2 |2x + 3| + 8 = 3
add -8 to both sides:
2|2x+3| = -5
divide both sides by 2
|2x+3| = -5/2
But left hand side is always positive because of the absolute bars but thee right hand side is negative. Therefore, Equation 2 has no solution.

Answer 5

thank you

Answer 6

you are welcome.