Question

Evaluate 2x+6y x=-4/5 and y=1/3. Write your answer as a fraction or mixed number in simplest form.

Answer 1

To evaluate the expression 2x+6y, substitute the given values of x and y and simplify the expression which gives values as 2/5

Step-by-step explanation:

To evaluate the expression 2x+6y, we substitute x=-4/5 and y=1/3.

Substituting the values, we get:

2(-4/5) + 6(1/3)

-8/5 + 6/3

Now, we need to find a common denominator for the two fractions, which is 15.

This gives us: -24/15 + 30/15 = 6/15

Finally, we simplify the fraction by dividing both the numerator and denominator by their greatest common factor, which is 3. So, the simplified fraction is 6/15 = 2/5.

Answer 2

Answer:
`\mathbf{(2)/(5)}`

Step-by-step explanation:

The given expression is
`2x+6y`

The value of x =
`-(4)/(5)` and the value of y
`=(1)/(3)`

Now , we substitute the value of x and y in the given expression , we get

`2((-4)/(5))+6((1)/(3))\\\\=((-8)/(5))+2((1)/(1))\\\\=-(8)/(5)+2=(-8+2(5))/(5)\\\\=(-8+10)/(5)\\\\=(2)/(5)`

Hence, the required answer in the simplest form is
`\mathbf{(2)/(5)}` .