rewrite the equation 2x-3y= -6 as a function of x.
2007-08-17 09:16:20 · 6 answers · asked by blue_eyed_woman_23 3 in Science & Mathematics ➔ Mathematics
you need to get x by itself:
2x - 3y = -6
Add 3y to both sides:
2x - 3y +3y = -6 +3y
2x = -6 + 3y
divide both sides by 2:
2x / 2 = (-6 + 3y) / 2
x = (-6 + 3y)/2
2007-08-17 09:24:19 · answer #1 · answered by Justin M 4 · 1⤊ 0⤋
Remember (x,y)? We were told the y value depended on what the x value was. In other words, y was a function of x. y=f(x)
Well, what they want here is what y is in terms of x. To satisfy their blessed little hearts, we will jiggle this equation around until we get +1y all by itself on one side of the equation.
2x -3y= -6
-3y =-2x -6
3y = 2x+6
y=(2/3)x +2
This is a line equation in Standard Form, y=mx+b
The slope of the line ,m, is 2/3, and the line cuts the y-axis 2 units up from the origin. That cut is called the y-intercept and its co-ordinates are (0,2). It is the value of b in the equation.
I suppose all this will be taught to you soon-I just thought I'd give you a heads up.
Good luck!
2007-08-17 10:00:32 · answer #2 · answered by Grampedo 7 · 0⤊ 0⤋
You want a function of x. Or in other words y=f(x).
Add 3y to both sides
2x = 3y - 6
Add 6 to both sides
2x + 6 = 3y
Divide both sides by 3
2x/3 + 2 = y = f(x)
2007-08-17 09:30:36 · answer #3 · answered by mojodata 3 · 0⤊ 0⤋
2x = - 6 + 3y
2x = 3y - 6
x = (3 / 2) y - 3
2007-08-17 10:43:07 · answer #4 · answered by Como 7 · 1⤊ 0⤋
Your first answer is inaccurate: (x+2)/2 = (x/2) + (2/2) = x/2 + one million Y = X/2 + one million [that's the equation of a line via (0,one million) having slope one million/2 For the 2nd subject: there is often extra suitable than one thank you to sparkling up a topic. prepare lots. together as you should subtract Y from the two factors, i might quite upload 2X: Y -2X + 2X = Y and 3 + 2X = 2X + 3, for this reason: Y = 2X + 3 bear in mind that as quickly as you're simplifying or re-arranging equations, you do no longer could desire to carry on with the "order of operations" rule. you in trouble-free terms carry on with it once you're ultimately fixing and positively calculating a value for the needed variable. if your answer is meant to look like Y=2X+3, you do no longer could desire to carry on with the order of operations rule. once you're CALCULATING an answer, like Y = 7 meters, it incredibly is once you carry on with the rule of thumb.
2016-10-10 10:49:29 · answer #5 · answered by Anonymous · 0⤊ 0⤋
1). 2x (-3y+3y) = (-6+3y)
2). 2x/2 = (-6+3y) ÷ 2
3). x = (-6+3y) ÷ 2
2007-08-17 09:27:10 · answer #6 · answered by ngc7331 6 · 0⤊ 0⤋