Q:

What is the solution to the equation? 1../ 13.5 + 5x = 20What is the solution to the equation? 2..//-14x + 16 = -12Solve for x.-32x – 18 = -2 Solve for x. 4 + x/5 = -3

Accepted Solution

A:
Answer: 1. [tex]x=1.3[/tex] 2. [tex]x=2[/tex] 3. [tex]x=-\frac{1}{2}[/tex]4. [tex]x=-35[/tex] Step-by-step explanation: 1. For the equation [tex]13.5 + 5x = 20[/tex], subtract 13.5 from both sides of the equation: [tex]13.5 + 5x -13.5= 20-13.5\\5x=6.5[/tex] And divide both sides by 5: [tex]\frac{5x}{5}=\frac{6.5}{5}\\\\x=1.3[/tex] 2. For the equation [tex]-14x + 16 = -12[/tex], subtract 16 from both sides of the equation: [tex]-14x + 16 -16= -12-16\\-14x=-28[/tex] And divide both sides by -14: [tex]\frac{-14x}{-14}=\frac{-28}{-14}\\\\x=2[/tex] 3. For the equation [tex]-32x - 18 = -2[/tex], add 18 to both sides of the equation: [tex]-32x - 18+18 = -2+18\\-32x=16[/tex] And divide both sides by -32: [tex]\frac{-32x}{-32}=\frac{16}{-32}\\\\x=-\frac{1}{2}[/tex] 4. For the equation Β [tex]4 + \frac{x}{5}= -3[/tex] subtract 4 from both sides of the equation: [tex]4 + \frac{x}{5}-4= -3-4\\\\\frac{x}{5}=-7[/tex] And multiply both sides by 5: [tex](5)(\frac{x}{5})=-7(5)\\\\x=-35[/tex]