I think of a number,multiply it by 3 and add 7.i get the Same answer if I multiply the number by 4 and subtract 12.find the number
It really helped me . Thanks.
3n + 7 = 4n - 12
19 = n
3n+7=4n-12
4n-3n=7+12
n=19
=
To find the number, we can set up a system of equations to represent the given information.
Let's assume the number we are trying to find is "x".
According to the given information, we have two equations:
Equation 1: 3x + 7 = 4x - 12
Equation 2: 3x + 7 = 4(x - 12)
To solve this system of equations, we'll start by simplifying Equation 2:
3x + 7 = 4x - 48
Next, we'll isolate the variables on one side of the equation:
3x - 4x = -48 - 7
Simplifying further,
-x = -55
Now we can solve for "x" by multiplying both sides of the equation by -1:
x = (-55) * (-1)
x = 55
Therefore, the number is 55.
To double-check our answer, we can substitute "x" back into the original equation:
3(55) + 7 = 4(55) - 12
165 + 7 = 220 - 12
172 = 208
The left-hand side of the equation is equal to the right-hand side, confirming that our answer, 55, is correct.