contestada

IM REALLY CONFUSED, please help
A. Given the equation 6(x + 3) = 3x − 3, solve for the variable. Explain each step and justify your process.
B. Jeff solved a similar equation below. Is Jeff's solution correct? Explain why or why not.
5x − 2 = 3(x + 2)
5x − 2 = 3x + 6
8x = 8
x = 1

Respuesta :

chrysanthemum
6(x + 3) = 3x - 3     Given
6x + 18 = 3x - 3     Distribute the 6
6x = 3x - 21           Subtract 18 from both sides
3x = - 21                Subtract 3x from both sides
x = -7                     Divide both sides by 3

5x - 2 = 3(x + 2)
5x - 2 = 3x + 6
5x = 3x + 8
2x = 8
x = 4

Jeff's solution is incorrect; his solution is incorrect because he added 3x to the left side when he should have subtracted it to cancel it from the right side.

Hope this helps.

Otras preguntas