Question

A=1/4 and b=6

16a-4b

a=1/4 and b=6
5b/32a=

a=1/4 and b=6
12a+(b−a−4)=

Answer 1

4a + 6b = 10
2a - 4b = 12
4a + 6b = 10
4a - 8b = 24
4a + 6b = 10
-14b = 14
4a + 6b = 10
b = -1
4a - 6 = 10
a = 4
b = -1

Answer 2

Answers & Step-by-step explanation:

#1. Insert given values:

`16*(1)/(4) -4*6`

Simplify multiplication from left to right. Use the rule
`(a)/(b)*c =(ac)/(b)`:

`(16)/(4)-4*6\\\\ 4-4*6`

Simplify multiplication:

`4-24`

Simplify subtraction:

`-20\\\\16a-4b=-20`

#2. Insert given values:

`(5*6)/(32*(1)/(4) )`

Simplify multiplication:

`(30)/(32*(1)/(4) )`

Simplify multiplication. Use the rule
`(a)/(b) *c=(ac)/(b)`:

`(30)/((32)/(4) )`

Simplify division:

`(30)/(8)`

Simplify fraction:

`(15)/(4) \\\\(5b)/(32a)=(15)/(4)`

#3. Insert given values:

`12*(1)/(4) +(6-(1)/(4) -4)`

Simplify subtraction within parentheses. Convert to fractions. Use the rule
`a=(a)/(1)`:

`(6)/(1) -(1)/(4) -(4)/(1)`

Make all denominators the same. Multiply top and bottom by 4 (only do this to the fractions with 1 as the denominator):

`(24)/(4)-(1)/(4)-(16)/(4)`

Simplify subtraction. Subtract the numerators. The denominator will stay the same:

`(24)/(4)-(1)/(4)-(16)/(4)=(7)/(4)`

Insert:

`12*(1)/(4) +(7)/(4)`

Simplify multiplication. Use the rule
`(a)/(b) *c=(ac)/(b)`:

`(12)/(4) =3`

Insert:

`3+(7)/(4)`

Simplify addition. Convert the whole number to a fraction. Use the rule
`a=(a)/(1)`:

`(3)/(1) +(7)/(4)`

Multiply top and bottom of the first term by 4:

`(12)/(4)+(7)/(4)=(19)/(4) \\\\12a+(b-a-4)=(19)/(4)`

:Done