what is 2x + 3y =6?

Answer 1

It is an equation for a line in standard form. You can easily put it into slope-intercept form (y = mx + b) where m is the slope of the line and b is the y-intercept of the line.

then you would have y = -2/3x + 2

So this line has a slope of -2/3, which tells you the line is decreasing, and it crosses the y-axis at the point (0, 2)

Since it is a line, there are an infinite number of ordered pairs that will solve this particular equation, just like there are an infinite number that are not solutions.

Hope this helps!

Angel, university mathematics instructor

Answer 2

Yes, it is a linear equation. A mathematical expression used to describe [slope and location] of a particular line. As already answered, you may change it to the slope-intercept form to find the "Slant" of the line and where it crosses the y axis on a coordinate plane. Or just find values for the variables x and y that make the equation true. Those values become "ordered pairs" (x, y) and you may plot them on the coordinate plane and then connect the dots to get your line. (0,2) and (3,0) are probably the two easiest ordered pairs to come up with and enough for you to draw your line, but as the line extends infinitely in each direction, so too are there an infinite number of ordered pairs of x and y values that make up the points on this line.
Many of the other posters here have parts of it right, but you do not need 2 equations, nor is there only one right answer as I've already pointed out.

Answer 3

to clean up this, you graph the proper equation meaning you alter the extra beneficial-than-or-equivalent-to sign to an equals. x+2y=3 and 2x-3y=6. the subsequent step is to place it in y=mx+b variety x+2y=3 -3 -3 x+2y-3=0 -2y -2y -2y=x-3 divide the two factors by potential of -2 y= -0.5x+a million.5 this line will intersect the y-axis on the component a million.5, so start up there.(b=y-intersept) the slope is -0.5 (m is the slope) this is one a million/2. Slopes are written upward thrust over run, so for one and all section it video clips down, it is going to circulate over 2 to the appropriate. then, you will desire to discover which edge to color in which would be x and y %. a component on the left and perfect edge of the line that become drawn and if it particularly works, interior the unique equation, then color that edge in. all the factors on that edge will artwork. try this with the different equation as nicely

Answer 4

x = 3

y = 2

Answer 5

an equation
x=0 and y=2
OR
x=3 and y=0

Answer 6

It's a linear equation. You could put it in slope-intercept y=mx+b form as y=2/3x+3. Then you could graph the equation. But that's just the first thing that jumps to my mind.

Answer 7

x is not 3 and y is not 2, if that was true, the answer would be 12
you need 2 equations for this
but you could say
2/3x+2=Y
if you need a linear equation
and why are you doing homework in the summer!!??

Answer 8

what about it? to solve for the variables:

2x+3y=6
2x=6-3y
x=(6-3y)/2

so sub that in for x...

2((6-3y)/2)+3y=6
6-3y+3y=6

the 3y's cancel out...
6=6

so that is a true equation.

Answer 9

2(0) + 3y = 6
3y = 6
3 ***3
y=2

2x + 3(0) = 6
2x = 6
2 ***2
x=3

Is that what you're looking for?

Answer 10

that is actually a QUADRATIC equation, not a linear one and slope- intercept form will NT work in this problem.

I dont really have the time to solve the problem but here is the formula to solve a quadratic equation:
http://mathworld.wolfram.com/images/equations/QuadraticEquation/equation1.gif