Question

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

Answer 1

Answer:

For the given expression: $X = (\frac{10}{3}) , Y = (\frac{26}{3})$

Step-by-step 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, $5(\frac{10}{3}) - Y = 8\\ \implies Y = \frac{50}{3} - 8 = \frac{50 - 24}{3} = \frac{26}{3} \\\implies Y = \frac{26}{3}$

Hence, for the given expression:

$X = (\frac{10}{3}) , Y = (\frac{26}{3})$