SOLUTION: how do i solve 4x+3y=14 .... using the addition method 9x-2y=14

Algebra.Com
Question 657336: how do i solve 4x+3y=14 .... using the addition method
9x-2y=14

Answer by best82(13)   (Show Source): You can put this solution on YOUR website!
Is this two separate equations??
4x+3y=14
9x-2y=14
In addition method, you want to eliminate one variable. Let's get rid of the y.
You must get the y in both equations to be the same thing. The LCM is 6. Then multiply each equation by a certain number, such that the number in front of y is 6. One must be negative, since -+ (+)= cancelled.
-2(4x+3y)=2(14)
3(9x-2y)=3(14)
-8x-6y=28
27x-6y=42
Get rid of the y.
19x=72
x=4
y=11

RELATED QUESTIONS

How do I solve the system using addition/elimination method and show work? 3x+2y=14... (answered by dabanfield,richwmiller)
how do i solve 3x + 7y = 16 by using the addition method 4x - 3y = 9 (answered by solver91311,josmiceli)
Using the addition method, how do I solve for 1/4x+1/3Y=5 and... (answered by ewatrrr,DrBeeee)
how do i solve 2x-7y=-29 and 7x+2y=-22 using the addition... (answered by ewatrrr)
how do I eliminate variables using the addition method? 2x-y+z=1 3x-3y+4z=5... (answered by ankor@dixie-net.com)
how do you solve this equation: 4x-8=4y, 4y+8=4x using the addition... (answered by Alan3354,MathLover1)
How do you solve 9x-14<-41 using addition and multiplication... (answered by checkley77)
Solve the following system of linear equations using either the substitution method or... (answered by rothauserc)
I have to solve this problem using the substitution method. 4x-y=6 and 9x-2y=16. I have... (answered by ankor@dixie-net.com)