Over the years, I have forgotten the difference between "rewriting an equation in standard form" and "rewriting an equation in standard form with integer coefficients".
I am currently try to rewrite the equation y = -3/4x - 1/2 in standard form with integer coefficients.
Assistance is greatly appreciated!
2006-08-15 05:03:16 · 9 answers · asked by Neil 2 in Science & Mathematics ➔ Mathematics
Standard Form: ax + by = c
Can you please offer the answer both with integer coefficients and without?
2006-08-15 05:30:49 · update #1
The standard form equation
Ax + By = C
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - -- - - - - - - -
y = - 3/4x - 1/2
Clear the fraction. Using 4 as the common denomintor
(4)y = (4) - 3/4 - (4)1/2
Multiply 4 on both sides
4y = -3x -2
+3x +3x
Add + 3x to both sides
3x + 4y = - 2
or
3x + 4y + 2 = 0
2006-08-15 05:43:03 · answer #1 · answered by SAMUEL D 7 · 0⤊ 0⤋
In standard form you try to make the form
ax + by = c
which is most obviously done here as
3/4x + y = -1/2
However, the coefficient 3/4 is not integer (and -1/2 isn't either). Multiply the equation with the GCM of the denominators,
3x + 4y = -2
or
3x + 4y + 2 = 0
2006-08-15 05:09:55 · answer #2 · answered by dutch_prof 4 · 6⤊ 0⤋
The standard form of an equation is Ax+By=C where A, B, and C are INTEGERS and A and B are not both equal to zero. A,B or C cannot be fractions. So you would write it has 3/4x+y=-1/2 and then multiply both sides of the equation by 4 to get rid of the fractions, and you get 3x+4y=-2
2006-08-15 05:13:06 · answer #3 · answered by Anonymous · 2⤊ 0⤋
Rewrite In Standard Form
2016-11-01 22:19:34 · answer #4 · answered by ? 4 · 0⤊ 0⤋
3/4x + y + 1/2 = 0 * 4
3x + 4y + 2 = 0
2006-08-15 05:11:49 · answer #5 · answered by t_nguyen62791 3 · 0⤊ 0⤋
y = -3/4x - 1/2
Multiply everything by 4 so that the coefficients are integers.
4y=-3x-2
2006-08-15 05:10:41 · answer #6 · answered by ME! 3 · 0⤊ 0⤋
Some textbooks say standard for is ax + by + c = 0 while others say ax + by = c.
Either of these work depending on which standard form is the standard you use.
3x + 4y + 2 = 0
3x + 4y = -2
2006-08-15 05:20:10 · answer #7 · answered by Nick 2 · 0⤊ 0⤋
I'm a little rusty too...
But I think....
ax+by =C
so to get that you need to multiply your entire equation by 4 to get rid of your denominators. Then switch it around.
4y = -3x-2
4y+3x=-2
3x + 4y = -2
2006-08-15 05:09:56 · answer #8 · answered by goodlittlegirl11 4 · 2⤊ 0⤋
(-3x-2)=4y=>3x+4y+2=0
2006-08-15 05:14:36 · answer #9 · answered by raj 7 · 0⤊ 0⤋