SOLUTION: 2/3x+3/5y=-17 1/2x-1/3y=-1 solve using elimination

Algebra.Com
Question 428739: 2/3x+3/5y=-17
1/2x-1/3y=-1
solve using elimination

Found 2 solutions by John10, stanbon:
Answer by John10(297)   (Show Source): You can put this solution on YOUR website!
2/3x+3/5y=-17
1/2x-1/3y=-1
Rewrite each equation by multiplying the LCD of each equation respectively
10x + 9y = -255
3x - 2y = -6
Use elimination method to solve this system.
Hint: the answer is x = -12 and y = -15
There you go!

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
2/3x+3/5y=-17
1/2x-1/3y=-1
==============
Multiply thru 1st by 15.
Multiply thru 2nd by 6.
--------------
10x + 9y = -15*17
3x - 2y = -6
---
Multiply thru 1st by 3
Multiply thru 2nd by 10
-----
30x + 27y = -45*17
30x - 20y = -60
-----------------------
Subtract and solve for "y":
47y = -705
y = -15
---
Solve for "x":
3x-2y = -6
3x+30 = -6
3x = -36
x = -12
===========
Cheers,
Stan H.
===========

RELATED QUESTIONS

solve the following systems using the elimination method. Write your complete solutions. (answered by math_tutor2020,josgarithmetic)
solve the following systems using the elimination method. Write your complete solutions. (answered by josgarithmetic)
1/2x - 3/2y = -29/2 1/3x - 3y = 33 Solve the linear system by using... (answered by ValorousDawn)
Use ELIMINATION to solve each SYSTEM!? 1.) 2x+y=41; 2x+5y=13 ____________________ (answered by ankor@dixie-net.com)
1.Solve by substitution or elimination method: 3x – 2y = 26 -7x + 3y = -49... (answered by Edwin McCravy)
Solve:... (answered by rapaljer)
Solve the system by elimination. 1) -3x+y=7 4x-2y=3 2) 2x-3y=7 (answered by ewatrrr)
solve the linear system using elimination 1/4x-2/3y=7... (answered by stanbon)
Solve by elimination. 1/3x-3/4y=13... (answered by lynnlo)