Question

solve for {a}: [2/3(a-5)]-[1/4(a-2)]=9/2.

Answer 1

Multiply throughout by 12 on both LHS and RHS and then try to solve

Answer 2

ok!

Answer 3

\[2/3(a - 5) - 1/4(a - 2) = 9/2\]
\[2a/3 - 10/3 - a/4 + 2 = 9/2\]

Answer 4

Isolate all terms with variables on the left side and all constants on the right side.

Answer 5

\[2a/3 - a/4 = 9/2 + 10/3 - 2 \]

Answer 6

Do you know what to do now?

Answer 7

Will you see your first step again,please

Answer 8

Did I make any mistake?

Answer 9

Ya ,u multiplied -1/4 with -2 and wrote 2

Answer 10

Yes, that's right because negative multiplied by negative gives positive.

Answer 11

So -1/4 * -2 = 2

Answer 12

but it should give 1/2

Answer 13

Oops sorry.

Answer 14

np:(

Answer 15

So its:
\[2a/3 - a/4 = 9/2 + 10/3 - 1/2\]

Answer 16

To clear all this fraction confusion, multiply by 12 first on both sides and then try to solve, the problem becomes much easier

Answer 17

ok 'thanx pratuo43

Answer 18

\[12\times\frac{2}{3}(a-5)-12\times\frac{1}{4}(a-2)=\frac{9}{2}\times12\]
\[8(a-5)-3(a-2)=54\]
\[8a-40-3a+6=54\]
\[5a-34=54\]
\[5a=88\]
\[a=\frac{88}{5}\]

Answer 19

thanx dude!

Answer 20

yw