Answer:
x = 18 and x = - [tex]\frac{5}{8}[/tex]
Step-by-step explanation:
1
- 4 + [tex]\frac{x}{-3}[/tex] = - 10 ( add 4 to both sides )
[tex]\frac{x}{-3}[/tex] = - 6 ( multiply both sides by - 3 to clear the fraction )
x = 18
As a check
Substitute x = 18 into the left side of the equation and if equal to the right side then it is the solution.
- 4 + [tex]\frac{18}{-3}[/tex] = - 4 - 6 = - 10 = right side
Thus x = 18 is the solution
2
- 2x + 3 [tex]\frac{1}{2}[/tex] = 4 [tex]\frac{3}{4}[/tex] ( change mixed numbers to improper fractions )
- 2x + [tex]\frac{7}{2}[/tex] = [tex]\frac{19}{4}[/tex] ( multiply through by 4 to clear the fractions )
- 8x + 14 = 19 ( subtract 14 from both sides )
- 8x = 5 ( divide both sides by - 8 )
x = - [tex]\frac{5}{8}[/tex]
As a check
- 2 × - [tex]\frac{5}{8}[/tex] + 3 [tex]\frac{1}{2}[/tex]
= [tex]\frac{5}{4}[/tex] + 3 [tex]\frac{1}{2}[/tex]
= 1 [tex]\frac{1}{4}[/tex] + 3 [tex]\frac{1}{2}[/tex]
= 4 [tex]\frac{3}{4}[/tex] = right side
Thus x = - [tex]\frac{5}{8}[/tex] is the solution
