Question

solve the following equation 3x+2y=18
y=-2/3x+12

Answer 1

Hi !
Have you a way ?!
If you have please write it ;)

Answer 2

There are multiple ways of solving this set of equations. Have you tried to do any? challenging

Answer 3

have answer but cannot figure how they got it

Answer 4

I have solved tons of these so I know a few tricks.
3x+2y=18
y=-2/3x +12
You can simply write
3x+2*(-2/3x+12)=18
as the second equation already had y expressed using only x

Answer 5

Now this equation has only x and real numbers so you should be able to express x.
Once thats done using the y= equation you can find y as well

Answer 6

3x+2y=18
2y=18-3x
y=9-3/2x

Answer 7

y = -2/3x + 12
now sub -2/3x + 12 in for y in the other equation

3x + 2y = 18
3x + 2(-2/3x + 12) = 18 -- distribute through the parenthesis
3x - 4/3x + 24 = 18 -- subtract 24 from both sides
3x - 4/3x = 18 - 24 -- combine like terms (common denominator is 3)
9/3x - 4/3x = - 6
5/3x = -6 -- divide by 5/3
x = -6/(5/3)
x = -6 * 3/5
x = - 18/5
now sub -18/5 in for x in either of the original equations
y = -2/3x + 12
y = -2/3(-18/5) + 12
y = 36/15 + 12 -- common denominator is 15
y = 36/15 + 180/15
y = 216/15

check...
3x + 2y = 18
3(-18/5) + 2(216/15) = 18
- 54/5 + 432/15 = 18 -- common denominator is 15
-162/15 + 432/15 = 18
270/15 = 18
18 = 18 (correct)

x = -18/5 and y = 216/15