Mathematics, 30.01.2020 20:45 ebonsell4910

Solve for a.

1/4(20−4a)=6−a14(20−4a)=6−a

−1

0

no solution

all real numbers

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A Simplify — a Equation at the end of step 1 : 20 (6+(——-4))-((5•1)-4) = 0 a Step 2 : 20 Simplify —— a Equation at the end of step 2 : 20 (6 + (—— - 4)) - 1 = 0 a Step 3 :Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using a as the denominator :

4 4 • a 4 = — = ————— 1 a

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

20 - (4 • a) 20 - 4a ———————————— = ——————— a a Equation at the end of step 3 : (20 - 4a) (6 + —————————) - 1 = 0 a Step 4 :Rewriting the whole as an Equivalent Fraction :

4.1 Adding a fraction to a whole

Rewrite the whole as a fraction using a as the denominator :

6 6 • a 6 = — = ————— 1 a Step 5 :Pulling out like terms :

5.1 Pull out like factors :

20 - 4a = -4 • (a - 5)

Adding fractions that have a common denominator :

5.2 Adding up the two equivalent fractions

6 • a + -4 • (a-5) 2a + 20 —————————————————— = ——————— a a Equation at the end of step 5 : (2a + 20) ————————— - 1 = 0 a Step 6 :Rewriting the whole as an Equivalent Fraction :

6.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using a as the denominator :

1 1 • a 1 = — = ————— 1 a

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