The equation: 8 = 9 + 4x
x = -1/4
Step-by-step explanation:
Given: eight is nine more than four times a number
To determine the mathematical expression, we need to break down the sentence:
let the number = x
four times a number = 4(x) = 4x
nine more than 4 times a number:
a number more than 4x means we will be adding that nuber to it
So, 9 more than 4x = 9 + 4x
eight is: means eight is equal to
we will be equating the expression nine more than four times a number to 8
8 = nine more than four times a number
8 = 9 + 4x (this is the equation)
To simplify the expression, we will collect like terms:
8 = 9 + 4x
subtract 9 from both sides:
8 - 9 = 9 - 9 + 4x
-1 = 4x
divide both sides by 4:
-1/4 = 4x/4
x = -1/4