Question

What is 5X minus Y equals 6+ negative 2X plus Y=8

Answer 1

For the given expression:
`X = ((10)/(3))  , Y =  ((26)/(3))`

Explanation:

Here, the given expression in statement form is given as:

5 X minus Y equals 6 + negative 2 X plus Y = 8

Now, converting the given statement mathematically, we get:

5X - Y = 6 + (-2X) + Y = 8

Now, considering first and the last terms,we get:

5 X - Y = 8 .... (1)

and , considering second and the last terms,we get:

6 + (-2X) + Y = 8 or, -2X + Y = 2 ......... (2)

Adding (1) and (2) , we get:

5 X - Y - 2 X + Y = 8 + 2

or, 3 X = 10

or, X = 10/3 = 3.34

Now, 5X - Y = 8

or,
`5((10)/(3)) - Y = 8\\ \implies Y = (50)/(3) - 8  = (50 - 24)/(3)  = (26)/(3) \\\implies Y = (26)/(3)`

Hence, for the given expression:

`X = ((10)/(3))  , Y =  ((26)/(3))`