I need help with this math question?

Question

3x-2y=-6

Answer 1

what do you wanna do with the equation?

is it an equation of a line? or are you trying to solve for x and y?
well, no unique solution though because you need 2 equations to solve for 2 unknowns...

Answer 2

There are an infinite number of solutions for both x and y. This is how you know this:

3x - 2y = -6
3x = 2y - 6
x= 2y -6/3
x=2/3y-2

now you must use your solution for x to find y

3(2/3y-2) - 2y = - 6
2y - 6 - 2y = - 6
2y - 2y = 6 - 6
both sides equal zero, therefore y has an infinite number of solutions

do the same for x

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

3x - 2( (3/2)x + 3) = - 6
3x -3x - 6 = - 6
3x - 3x = 6 - 6
both sides equal zero, therefore there are an infinite number of solutions for x

This is a unique solution because in most cases you can solve for one variable (x) to get a solution with the other variable in it (y). Then use that solution in place of the first variable (x) to get a solution for the second variable (y).

Hope this was helpful!

Answer 3

3x - 2y = -6 becomes (adding 2y to both side and 6 to both side)
3x + 6 = 2y becomes (dividing both side by 2)
3x/2 + 3 = y

This is a line with slope 3/2 which crosses the y-axis at 3. That's the information you need to graph the line.

HTH

Charles

Answer 4

What's the question? It could be any of the following:
- Solve for x
- Solve for y
- Solve for x and y
- Graph
- Express in some other form (slope-intercept etc.)

But "3x-2y=-6" is no question. It's an equation.

Answer 5

3x-2y=-6 can be manipulated to
-2y=-3x-6 then to
y=(3/2)x+3

the y-intercept is 3 and the slope is 3/2.

with this equation you can plot the potential answers.

Otherwise, you need another equation to help solve.

Answer 6

3x=2y-6
there's more than one right answer

Like say if x=2, then y would equal 6,
or if x=4, then y=9.....

Answer 7

jstro is correct. There is insufficient information to do anything further with this equation and there are infinite solutions even if we just consider integers, or even positive integers.

One solution in the positive integer Venn is (2,4). To get another solution we add 2 to x and 3 to y (4,9). This can be done ad infinitum.

The line equation is y = -1.5x + 6. The line crosses the y axis at +6 and has a slope of 1.5.

Answer 8

You can solve for the x and y intercept

x intercept

y = 0

3x - 2y = - 6

3x - 2(0) = - 6

3x = - 6

3x / 3 = - 6 / 3

x = - 2

- - - - - - -

y intercept

x = 0

3x - 2y = - 6

3(0) - 2y = - 6

- 2y = - 6

- 2y / - 2 = - 6 / - 2

y = 3

- - - - - - - - - - - - -s-

Answer 9

x=4,y=3

Answer 10

You have one equation, but two unknowns (x and y). That means you can't determine a unique answer for both x and y. There are an infinite number of combinations of x and y that will satisfy the equation.