Step-by-step explanation: In order to decide whether the given fractions are equivalent, first write each fraction in lowest terms. Remember, a fraction is written in lowest terms if the greatest common factor of the numerator and the denominator is 1.
For our first fraction which is 3/4, the greatest common factor of 3 and 4 is 1, the fraction is already in lowest terms.
For our second fraction however, since the greatest common factor of 6 and 8 is 2, we must divide both the numerator and denominator by 2 which gives us 3/4.
3/4 = 3/4 which means these fractions are equivalent.
3/4 and 6/8 are equivalent because if you reduce 6/8 in lowest terms, you end up with the fraction 3/4.
Answer: x > -7
Step-by-step explanation:
so first, we move the constant to the right.
-3x < 15 + 6
the, we calculate that.
-3x < 21
then, we divide both sides.
solution: x > -7
Answer:
Step-by-step explanation:
1. no sol
2. infi
3.no sol
4. one sol
Answer:
see explanation
Step-by-step explanation:
1
x - 4 = 20 ( multiply through by 3 to clear the fraction )
2x - 12 = 60 ( add 12 to both sides )
2x = 72 ( divide both sides by 2 )
x = 36
2
4 = 
( multiply both sides by 2 to clear the fraction )
8 = - 1 + x ( add 1 to both sides )
9 = x
3
12(x + 9) = - 108 ( divide both sides by 12 )
x + 9 = - 9 ( subtract 9 from both sides )
x = - 18
4
5x + 14 = - 7 ( subtract 14 from both sides )
5x = - 21 ( divide both sides by 5 )
x = - 
= - 4.2
Answer:
x = ± 
Step-by-step explanation:
Given
mx² = f ( isolate x² by dividing both sides by m )
x² = 
( take the square root of both sides )
x = ±
