PLEASE tell me how you are supposed to come to the answer to this. and what is the answer:
a number x is y more than a number y times x
i'm a little confused, and i have to teach this to a student.
thanks a lot
ok, i get it now:
x=y+yx
"a number x is y more than a number y times x"
Let's break it into parts.
"a number y times x" = y*x
"a number x is y more" x - y, because x = ___ + y
Now put it together.
x - y = y*x
x = y*x + y
Now factor out y:
x = y*(x+1)
y = x / (x+1)
Now you have y in terms of x. Solutions to y and x cannot be found without another equation.
this is the answer in my book: x=y+yx
To find the answer to the problem, let's break down the given information step by step.
The problem states that "a number x is y more than a number y times x." Let's interpret this statement correctly and set up an equation.
"A number x is y more than a number y times x" can be translated as:
x = y + (y * x)
Now, let's simplify the equation by distributing y:
x = y + yx
Next, let's isolate the variable x on one side of the equation. We can do this by subtracting yx from both sides:
x - yx = y
Factoring out x:
x(1 - y) = y
To solve for x, we can divide both sides of the equation by (1 - y):
x = y / (1 - y)
Now that we have the equation x = y / (1 - y), we have our answer.
If you encounter a similar problem when teaching a student, make sure to carefully translate the given information into an equation, simplify it, and apply algebraic operations to isolate the variable.