Rewrite the equation 4x/3x−12+3=10 in two equations joined by “and.”
1) 4x/(3x-12) + 3 = 10
2) 4x/(3x-12) = 7 and 3 = 10
To rewrite the equation 4x/3x-12+3=10 in two separate equations joined by "and," we can start by simplifying the left side of the equation:
First, simplify 4x/3x-12 to get (4/3)-12:
4x/3x-12+3=10
(4/3)-12+3=10
Now we have two separate equations:
1. 4x/3x-12 = (4/3)-12
2. (4/3)-12+3 = 10
Joining them with "and" gives:
1. 4x/3x-12 = (4/3)-12, and
2. (4/3)-12+3 = 10
To rewrite the equation 4x/3x - 12 + 3 = 10 in two separate equations joined by "and," we need to split it at the "and" point.
First, let's isolate the fraction 4x/3x:
Distribute the denominator 3x to both terms in the numerator:
4x / 3x = (4/3) * (x / x) = (4/3) * 1 = 4/3
Now, we can rewrite the equation in two parts:
Equation 1: 4/3 - 12 + 3 = 10
Equation 2: 4x = 10
Remember to change the original equation to the simplified fraction before splitting it into two separate equations.