Question

Write y= 2/3 x +7 in standard form using integers

a.2x + 3y=21
b.3x - 2y = 21
c.-2 - 3y = 21
d.-2x - 3y = 7

Answer 1

The standard form of
`y= (2)/(3) x +7` is -2 x + 3 y = 21.

Explanation:

Here, the given expression is : y= 2/3 x +7

The standard form of the equation is ax + by = c

Now, simplifying the above expression:

`y= (2)/(3) x +7  \implies   y - 7 =   (2)/(3) x`

or,
`3(y-7)  = 2x  \implies  3y - 21 = 2x`

or, -2x + 3y = 21

Hence, the standard form of
`y= (2)/(3) x +7` is -2x + 3y = 21.