Question

Which equation shows y = 3/4x - 5/2 in standard form?

A) 3x - 4y = 10

B) 4x - 3y = -10

C) 4x - 3y = 10

D) 3x - 4y = -10

Please help and show work!!

Answer 1

The format for a standard form is ax+by=c.
So, we need to get rid of fractions in the equation first.
To do this, multiply both sides by the "LCM" of the fraction denominators..
The LCM of 4 and 2 is 4. So, multiply both sides by 4:
4y = 3x - 10
Now, change it to standard form by subtracting 3x from both sides:
-3x + 4y = -10
This doesn't match any of the choices. Am I wrong or is the choices wrong? idk