Advertisements
Advertisements
Question
Solve the following equation and check your result:
`2y + 5/3 = 26/3 - y`
Advertisements
Solution
`2y + 5/3 = 26/3 - y`
Transposing -y to L.H.S, we get
`2y + 5/3 + y = 26/3`
`3y + 5/3 = 26/3`
Now, transposing `5/3` to R.H.S, we get
`3y = 26/3 - 5/3`
`3y = 21/3`
Now, dividing both sides by 3, we get
`(3y)/3 = 21/3 xx 1/3`
`y = 21/9 = 7/3`
L.H.S = `2y + 5/3`
` = 2 xx 7/3 + 5/3`
` = 14/3 + 5/3`
` = 19/3`
R.H.S = `26/3 - y`
` = 26/3 - 7/3 `
`= 19/3`
L.H.S. = R.H.S.
Hence, the result obtained above is correct.
APPEARS IN
RELATED QUESTIONS
If you subtract `1/2` from a number and multiply the result by `1/2`, you get `1/8`. What is the number?
Sum of two numbers is 95. If one exceeds the other by 15, find the numbers.
Solve the following equation and check your result:
4z + 3 = 6 + 2z
Solve the following equation and check your result:
8x + 4 = 3(x − 1) + 7
Solve the following equation and check your result:
`3m = 5m - 8/5`
Solve the following:
`(2x - 3)/(4x + 5) = 1/3`
Solve the following:
`8/x = 5/(x - 1)`
Solve the following:
`(0.2x + 5)/(3.5x - 3) = 2/5`
Solve the following:
`1/2(x + 1) + 1/3(x - 1) = 5/12(x - 2)`
Find a number whose fifth part increased by 30 is equal to its fourth part decreased by 30.
