what is 3x+4y=6?

Part One;

Equation: 3x+4y=6
Variable : x
Result : x = 1/3 ( 6 - 4y )

Part Two;

Equation: 3x+4y=6
Variable :y
Result : y = 1/4 ( 6 - 3x )

Good Luck.

2006-09-06 01:19:20 · answer #1 · answered by sweetie 5 · 1⤊ 0⤋

It is a linear equation having two unknowns x and y. You can find out the value of x in terms of y or the value of y in terms of x.
Thus, 3x +4y = 6
=> 3x = 6 - 4y
=> x = ( 6 -4y)/3
or 3x + 4y =6
=> 4y = 6 -3x
=> y =(6 - 3x)/4
putting any value of x, you can find out the value of y and vice versa.

2006-09-06 07:12:39 · answer #2 · answered by cgen2 2 · 0⤊ 0⤋

3X + 4Y = 6

If it is integer
Y=0 and X=2
3(2) + 4(0) = 6

Y=3 and X=-2
3(-2)+4(3)=6
(-6) +12=6

Y=9 and X=-10
3(-10) + 4(9) = 6
(-30) + 36 = 6

Y=6 and X=-6
3(-6) + 4(6) = 6
(-18) + 24 = 6

for Y mod 3 =0 there is always have X which integer value

If it is linier
3X + 4Y = 6
3X = 6 - 4Y

X =(6-4Y)/3
X = 2-(4/3)Y

2006-09-06 07:59:45 · answer #3 · answered by safrodin 3 · 0⤊ 0⤋

if you need to put 3x+4y=6 into y=mx+b format:
4y = 6 - 3x <== subtract 3x from both sides
y = 6/4 - (3/4)x <== divide by 4 to isolate y
y = 3/2 - (3/4)x <==simplify improper fractions
y = -(3/4)x + 3/2 <== use commutative prop to put into proper format

2006-09-06 12:01:40 · answer #4 · answered by Anonymous · 1⤊ 0⤋

This means the representation of a straight line where the line goes through (0,6/4) and (2,0)

It's easy, when you like to get the coordinates of the straight line from this kind of equation, just put x = 0, and get y = 6/4, so one coordinate through which the line passes is (0, 6/4). Similarly other one is (6/3,0) or (2,0).

Now you connect this two coordinates and extend the straight line both directions, and add arrows(>) to both directions to represent the straight line 3x+4y=6

2006-09-06 08:17:24 · answer #5 · answered by M1976 2 · 0⤊ 0⤋

Good question. The answer is 3x=6-4y

2006-09-06 07:08:15 · answer #6 · answered by HOTTürk 4 · 0⤊ 1⤋

It is a linear equation which the line crosses x axis on 2 and y axis on 3/2.

2006-09-06 07:13:24 · answer #7 · answered by Leprechaun 6 · 0⤊ 0⤋

It is a linear equation which when written in slope-intercept form yields y = -3/4 x + 3/2.

^_^

2006-09-06 07:20:15 · answer #8 · answered by kevin! 5 · 0⤊ 0⤋

it is a linear equation with the grad = -3/4 and y-intercept = 3/2

2006-09-06 07:08:11 · answer #9 · answered by superlaminal 2 · 2⤊ 0⤋

depends on what you are solving for
if you're solving for x then.. X = (6-4y)/3
if you're solving for y then .. Y = (6-3x)/4

2006-09-06 07:10:54 · answer #10 · answered by sticky019 1 · 0⤊ 0⤋

18 answers