x=4x+3
Simplifying
x = 4x + 3
Reorder the terms:
x = 3 + 4x
Solving
x = 3 + 4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x' to each side of the equation.
x + -4x = 3 + 4x + -4x
Combine like terms: x + -4x = -3x
-3x = 3 + 4x + -4x
Combine like terms: 4x + -4x = 0
-3x = 3 + 0
-3x = 3
Divide each side by '-3'.
x = -1
Simplifying
x = -1
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The first number is x
The second number is y
So according to the given condition the sum of these two numbers is 84, so we can write
x+y=84 ————-(1)
Again one of them is more than 12 than the other that's why we can write,
x+12=y -------------(2)
Now putting the values of y in equation (1) we get,
x+x+12=84
=>2x+12=84
=>2x+12–12=84–12
=>2x=72
=>2x/2=72/2
=>x=36
Taking the value of x in equation(2) we get,
36+12=y
=>y=48
The two numbers are 48 and 36.
Check:
48+36=84
=>84=84
Also 48 =36+12; which is more than 12 of 36.
Answer:
$12000 should be invested in a fund with a 4% return.
Step-by-step explanation:
Consider the provided information.
An amount of $15,000 is invested in a fund that has a return of 6%.
We need to calculate how much money is invested in a fund with a 4% return if the total return on both investments is $1380.
Let $x should be invested in a fund with a 4% return.
The above information can be written as:
Hence, $12000 should be invested in a fund with a 4% return.