SOLUTION: Use linear combinations to slove the linear system. Then check your solution. 3g-24=-4h -2+2h=g Below is what I have tried, however it was unsuccsessful: 3g+4h=-24 -g-2h

Question 138297: Use linear combinations to slove the linear system. Then check your solution.
3g-24=-4h
-2+2h=g
Below is what I have tried, however it was unsuccsessful:
3g+4h=-24
-g-2h=2
_________
-3/1g (fraction)=3 =-21
_________________________
3g+4h=-24-------3g+4h=-24
-3(-g-2h=2)-----3g-2h=2
_________________________
6h=-21/6=-3.5

3(3.5)-4h=-24
9.5-4h=-24
= 9.5
_____________
-33.5/4 (divide)= -8.25
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Use linear combinations to slove the linear system. Then check your solution.
3g-24=-4h
-2+2h=g
--------------
Rearrange the equations:
3g + 4h = 24
g - 2h = -2
---------------
Multiply the 2nd equation by 2 to get:
2g -4h = -4
--------------
Add that equation to the 1st to get:
5g = 20
g = 4
--------------
Substitute that into 3g+4h = 24 to solve for "h":
3*4 + 4h = 24
4h = 12
h = 3
----------------
Solution: h=3 and g = 4
============================
Cheers,
Stan H.
RELATED QUESTIONS
Use linear combinations to solve the linear system. Then check your solution. x+y=4... (answered by HyperBrain)

May you help me with this problem: g-10h=43 18=-g+5h The instructions are to use... (answered by Alan3354)

May you help me with this problem: 9m-3n=20 3m+6n=2 The instructions are to use... (answered by stanbon)

May you help me with this problem: 2p-q=2 2p+3q=22 The instructions are to use... (answered by Alan3354)

May you please help me with this problem: 5e+4f=9 4e+5f=9 The instructions are to... (answered by Alan3354)

May you help me with this problem: 3b+2c=46 5c+b=11 The instructions are to use... (answered by stanbon)

May you help me with this problem: 3x+7y=6 2x+9y=4 The instructions are to use... (answered by Alan3354)

May you help me with this problem: 5y-20=-4x 4y=-20x+16 The instructions are to... (answered by Alan3354)

May you help me with this problem: 3j+5k=19 j-2k=-1 The instructions are to use... (answered by Alan3354)