SOLUTION: I have tried for an hour now, and I do not understand these equations.. For instance; how do you sovle this? x + 2y = 13 2x - 3y = -9

Algebra.Com
Question 879646: I have tried for an hour now, and I do not understand these equations.. For instance; how do you sovle this?
x + 2y = 13
2x - 3y = -9

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Multiply EVERY term in equation 1 by -2 to get

x + 2y = 13

-2x -4y = -26


We now have this system

-2x - 4y = -26
2x - 3y = -9


Add the equations to get


-2x - 4y = -26
2x - 3y = -9
-------------
0x - 7y = -35

So -7y = -35 which means y = 5 (divide both sides by -7)

Once you have y = 5, you use this to find x. Pick any equation with x,y in it and plug in y = 5 to solve for x. I'll let you do this part.


RELATED QUESTIONS

Hi there, This is my question: State how many solutions exist for each set of equations... (answered by scott8148)
how do you solve for these equations 4x+2y=9 & 2x+10y=9 using elimination technique... (answered by TimothyLamb)
I do not understand this: Solve the following system of equations: 2x+3y-x=0... (answered by ikleyn,stanbon)
I do not understand how to do these equations I am having a hrd time with this as long... (answered by JBarnum)
Hey there, I have been given a simultaneous equations hwk, and have been doing fine up... (answered by ikleyn)
I have Three problems on my work sheet that I do not understand how to do. The... (answered by ankor@dixie-net.com)
i do not understand how to figure out the value for x and y in these equations. then i... (answered by josgarithmetic,ikleyn)
Find the solution to system of equations by substitution. Problem:... (answered by checkley71)
I need you to help with a graphical method. I do not understand it or algebra to beging... (answered by mananth)