Question

Solve. a-5/a+4 = 5/4 a = 0 a = -1 a = -9 a = -40

Answer 1

-40=a

Explanation:

( a-5)/(a+4) = 5/4

Multiply by (a+4) on each side

( a-5)/(a+4) * (a+4) = 5/4 (a+4)

a-5 = 5/4 (a+4)

Multiply by 4 on each side to clear the fractions

4(a-5) = 5/4*4 (a+4)

4(a-5) = 5 (a+4)

Distribute

4a -20 =5a +20

Subtract 4a from each side

4a -4a -20 = 5a-4a +20

-20 =a+20

Subtract 20 from each side

-20-20 =a+20-20

-40=a