Answer:
15 is your answer.
Step-by-step explanation:
Let "a number" = x
"Three times a number increase(d) by 4" = 3x + 4
"...is the same as" = "="
"four times that number decreased by 11" = 4x - 11
Set the equation:
3x + 4 = 4x - 11
Isolate the variable, x. Subtract 4x and 4 from both sides:
3x (-4x) + 4 (-4) = 4x (-4x) - 11 (-4)
3x - 4x = -11 - 4
Simplify. Combine like terms:
-x = -15
Isolate the variable, x. Divide -1 from both sides:
(-x)/-1 = (-15)/-1
x = (-15)/(-1)
x = 15
15 is your answer.
~
