There are two parts to this expression, so we need to tackle them separately.
Part 1: (3−34)/3
To simplify this fraction, we need to find the greatest common factor (GCF) between the numerator (3−34) and denominator (3).
The factors of 3 are 1 and 3. The factors of 3−34 (or -31) are 1, -1, 31, and -31. The only factor that is common to both is 1. Therefore, the GCF is 1.
To simplify the fraction, we divide both the numerator and denominator by the GCF, which is 1.
(3−34)/3 = -31/3
Part 2: (x−7)/4
This expression cannot be simplified any further.
Putting it all together:
(-31/3) = (x−7)/4
To isolate x, we can cross-multiply the fractions and simplify:
-31(4) = 3(x−7)
-124 = 3x−21
-103 = 3x
x = -103/3
Therefore, the solution to the equation 3 − 34/3 = (x − 7)/4 is x = -103/3.
Solve for x.
3 − 34
3
4
x = 14
1
4
x − 7
1 answer