7.2

**//Susana Matias//**

 * //You solved systems of linear equations by graphing.//**
 * //You will solve system of linear equations by substitution.//**
 * //So you can find tubing costs.//**


 * //Y=2x+5//**
 * //3x+Y=10//**
 * //3x+1(2x+5)=10//**
 * //3x+2x+5=10//**
 * //5x+5=10//**
 * //-5 -5//**
 * //5x=5//**


 * //5 5//**
 * //X= 1//**


 * //Y=2x-1//**
 * //2x+Y=3//**

//Jorge Rodriguez// //Linear systems by subtitution is basicly trying to substiute different numbers into an equation to try and solve it.// //x - 2y= -6 Equation 1// //4x + 6y = 4 Equation 2// //4 ( 2y - 6 ) + 6y = 4//

//8y - 24 + 6y = 4 simplify ->// //14y - 24 = 4 add 24 to each side = 14y = 4// /// each side by 14 and you get y = 2 which is your answer// //y = 3x + 2 equation 1// //x + 2y = 11 equation 2//

NATHAN KUHNS
 * y = 3x+2 equation 1**
 * x+ 2y = 11 equation 2**


 * x+2y = 1 write equation 2**
 * x+2(3x+2) = 11 substitute 3x+2 for y**
 * 7x+ 4 = 11 simplify**
 * 7x = 7 subtract 4 from each side**
 * x = 1 divide each side by 7**
 * substitude 1 for x in the origional equation 1 find the value of y**
 * y = 3x+2 = 3(1) + 2 = 3 + 2 = 5**
 * solution is 1,5**


 * x - 2y = -6 equation 1**
 * 4x + 6y = 4 equation 2**

--
 * Keaton Schott 7.2**
 * solve an equation with another equation used as a key.**


 * y=6x+4**
 * 2x+4y=22**


 * 2x+4(6x+4)=22 sub in the second problem for y**
 * 2x+24x+16=22 use distributive property**
 * -16 -16 subrtract 16 from both sides to get all the x's by themselves**
 * __26__x=__6__ combine like terms**
 * 26 26 divide by 26**
 * x=4 1/13**
 * y= 6(4 1/13)+4 substitute 4 1/13 for x and plug into first equation**
 * y=24 6/13+4 distributive property**
 * y=28 6/13 finish equation**


 * x=4 1/13**
 * y=28 6/13**


 * SOLVE: 4x+2=y**
 * 8x+2y=8**