SOLUTION: Solve the system: 2x+3y=10 -3x+2y=11

Question 5232: Solve the system:
2x+3y=10
-3x+2y=11
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
in the Lesson section on this site, i have written explanations on how to solve such systems. Have a look there, to learn.

Here is your solution: I shall pick to make the x terms the same:

2x+3y=10 by x3
-3x+2y=11 by x2

6x+9y = 30
-6x+4y = 22

Now add the 2 equations together to give 13y = 52. Next,
y = 52/13
--> y = 4

so, now in 2x+3y = 10
--> 2x + 3(4) = 10
--> 2x + 12 = 10
--> 2x = -2
--> x = -1

Now check in other equation
-3x+2y
-3(-1) + 2(4)
3 + 8
11 --> which is the correct answer!

So, the solution is correct.

Jon.
RELATED QUESTIONS
Solve the system of equation: 3x+2y=11 2x-2y=4 Solve the system: 2x-y+2z=11... (answered by mangopeeler07)

Solve the System: 2x-y+2z=11 3x-2y-z=12... (answered by Electrified_Levi)

Solve the system graphically. 3x+2y=11... (answered by funmath)

Solve the system: 2x+3y=5... (answered by MathLover1)

Solve the system. -x+2y=10... (answered by saifoo.khan)

Solve the system by addition -5x+2y=10 x-3y=11 Solve by substitution 2x+2y=0... (answered by checkley71)

Solve the system of equations. 2x-y+z=3 x+3y-2z=11... (answered by jim_thompson5910)

solve each system by the elimination method 1)3x+2y=10 2x+y=7 2)3x-2y=7 2x-y=8 (answered by jojo14344)

Solve the system by substitution: 3x + 2y = -11 x = -11 +... (answered by jim_thompson5910)