solve by the substitution method
3x + 6y = 27
-2x + y = 12
what is the solution of the system..(type an ordered pair, or N if there is no solution)
3x+6y=27
y=2x+12
Then 3x+6(2x+12)=27
3x+12x+72=27
15x=45
x=9
i get that part but it tells me im wrong that they want it something like this..(3,4)i don't get that..
Geepers, if x is 3, calculate y from either equation and put it in that form (3,?)
Note that La Tarial made a typo, x=3, not 9
Actually, it is wrong, La Trial made another error.
3x+12x+72=27
15x=-45
x=-15
so y = 2(-15)+12
To solve this system of equations using the substitution method, we need to solve one equation for one variable and substitute it into the other equation. Let's solve the second equation for y:
-2x + y = 12
Rearranging the equation, we get:
y = 2x + 12
Now we can substitute this expression for y in the first equation:
3x + 6(2x + 12) = 27
Simplifying the equation, we have:
3x + 12x + 72 = 27
15x + 72 = 27
Subtracting 72 from both sides, we get:
15x = -45
Dividing both sides by 15:
x = -3
Now we can substitute this value of x back into the second equation to find y:
-2(-3) + y = 12
6 + y = 12
y = 6
Therefore, the solution to the system of equations is the ordered pair (-3, 6).