SOLUTION: Identify the property illustrated: If x + 5 = 6, then 3x + 15 = 18

Algebra ->  Finance -> SOLUTION: Identify the property illustrated: If x + 5 = 6, then 3x + 15 = 18       Log On


   



Question 1189098: Identify the property illustrated:
If x + 5 = 6, then 3x + 15 = 18

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
if you multiply both sides of an equation by the same number, the equality is preserved.

you have x + 5 = 6
multiply both sides by 3 to get:
3x + 15 = 18

the equality is preserved.

the left side of the equation is still equal to the right side of the equation.

in the first equation, solve for x to get:
x = 1
you get this by subtracting 5 from both sides of the equation.

in the second equation, solve for x to get:
x = 1

you get this by doing the following:

subtract 15 from both sides of the equation to get:

3x = 3

divide both sides of the equation by 3 to geet:

x = 1

here's a reference

https://www.mathplanet.com/education/pre-algebra/inequalities-and-one-step-equations/different-ways-to-solve-equations

i believe the property will state that, if you multiply both side of an equation by the same number, the equality is preserved, or something like that.