How do you solve 2x-3y=-12

Question

Math

 

Answer 1

As it stands, there is no single answer, as this is the equation for a line in standard form. You can change it to a slope-intercept form thusly:

2x - 3y = -12

Subtract 2x:

-3y = -2x - 12

Divide by -3:

y = ²/₃ x + 4

 

But without a value for one of the variables, we cannot solve it for the other, save to create ordered pairs.

Example:

x = 3

y = ²/₃ * 3 + 4

y = 2 + 4

y = 6, giving us (3, 6)

 

x = -3

y = 2/3 * -3 + 4

y = -2 + 4

y = 2, giving us (-3, 2)

 

x = 0

y = 4, giving us (0, 4)

 

Answer 2

Well, you can't solve the equation without more information if what you want is one set of x,y for the answer.  Without more information,it is just an infinite series of numbers that will make that equation true.  

2x - 3y = -12

x=0 and y = 4 works.  so does y = 0 and x = -6.