SOLUTION: can I have some step by step examples of how to solve linear systems using elimination and graphing it out. Also solving linear systems by multiplying first and graphing. I apprec

Algebra ->  Graphs -> SOLUTION: can I have some step by step examples of how to solve linear systems using elimination and graphing it out. Also solving linear systems by multiplying first and graphing. I apprec      Log On


   



Question 428899: can I have some step by step examples of how to solve linear systems using elimination and graphing it out. Also solving linear systems by multiplying first and graphing. I appreciate any help my daughter has a retest tomorrow and is lost and i am trying to help her,that is why I,myself need a step by step explanation it is for me to understand so i can teach her.



Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
2x+3y=8 .............1
x-5y=17 .............2

Eliminate y
multiply (1)by 5
Multiply (2) by 3
10x+5y=40
3x+2y=51

Add the two equations

13x=91

/13

x=7

plug value of x in (1)

2x+3y=8
14+3y=8
3y=8+-14
3y=-6
y=-2
(7,-2) is the solution.
2x+3y=8 .............1
x=0 , y=8/3 ( 0,8/3)
y=0, x=4 (4,0)
x-5y=17 .............2
x=0,y=-17/5 (0,-17/5)
y=0,x=17 (17,0)
Plot two points generated from each equation (1) & (2) draw the line graph

The intersection is the solution