For what values of a is the sum of the fractions 2a−1 / 4 and a−1 /3 positive?

Step-by-step explanation:

We are given fractions as

now, we can add both fractions

we can see that both denominators are different

so, we can find common denominator

now, we can combine them

To make it positive, both numerator and denominator must be positive

Since, bottom is 12 ...which is positive

so, numerator should also be positive

so, we get

now, we can solve for a

we get

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116

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step-by-step explanation: