SOLUTION: 2x+3y=2 4x+2y=-3 what number would you multiply the top equation by to eliminate the x terms?

Algebra.Com
Question 766849: 2x+3y=2
4x+2y=-3
what number would you multiply the top equation by to eliminate the x terms?

Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
 2x + 3y =  2
 4x + 2y = -3

To eliminate the x-terms multiply the top equation through by -2

-4x - 6y = -4
 4x + 2y = -3
-------------
     -4y = -7
       y = 
       y = 

----------------------------

 2x + 3y =  2
 4x + 2y = -3


To eliminate the y-terms multiply the top equation through by -2
and multiply the bottom equation through by 3

-4x - 6y =  -4
12x + 6y =  -9
---------------
 8x      = -13
       x = 

Edwin

RELATED QUESTIONS

Solve using the multiplication principle first. Then use the elimination method. 2x+y=13 (answered by stanbon,mananth)
The first equation of each system is multiplied by 4. By what number would you multiply... (answered by Fombitz)
HELP...!!! You want to get rid of the y by elimination in the system below. x (answered by subudear)
Multiply both sides of each equation by a common denominator to eliminate the fractions.... (answered by jim_thompson5910,stanbon)
*You want to get rid of the x by elimination in the system below. 3x + 4y = 7 4x – 2y (answered by mananth)
equations in three linear variables 2x-y+z=10 4x=2y-3z=10 x-3y+2z=8 wouldn't you... (answered by corrie21)
4. Jonas used linear combination to solve the system of equations shown. He did so by... (answered by Fombitz)
What would be the most efficient first step to solve the following system of equations by (answered by Fombitz)
Using solving by elimination, what are the possible numbers you could multiply the... (answered by math_helper,MathTherapy)