Thursday

October 2, 2014

October 2, 2014

Posted by **mike** on Friday, December 25, 2009 at 12:19pm.

X to A =W

X to B =X

Y to A =Y

Y to B =Z

w+x=32

y+z=8

w+y=22

x+z=18

You helped me solve for y Ijust added w+y=32

220w+300(32-w)+400(22-w)+180(8-y)=9280

,

w+y=22

The answer I got was y=32 I solved for x and got x=42 I don't know if this is right. I am trying to solve for w and z but keep coming up with fractions. I am using the substitution method to calculate. Thank you Can you help me understand.

- Algebra -
**MathMate**, Friday, December 25, 2009 at 3:03pmIt is not clear to me what this parts means:

"define the following new variables

X to A =W

X to B =X

Y to A =Y

Y to B =Z "

However, if we look at the system of 4x4 equations:

w+x=32

y+z=8

w+y=22

x+z=18

Whichever method you use, you will find that one of the equations is a linear combination of the other three, and there is an infinite number of solutions, depending on the value of the "free variable".

If we take the "free variable" as z, then we can express the solution in terms of z, as follows:

w=t+14, x=18-t, y=8-t, z=t

**Answer this Question**

**Related Questions**

Algebra 2 - Solve for B: P.S. How do you solve for variables? Show your work. 3V...

math/algebra - solve each of the following systems by substitution. 16) 5x -2y...

algebra - I do not know how to solve the following systems of linear equations ...

Science - I have vocabulary words for science that I have to define and I cant ...

Algebra 1 - a farm raises a total of 220 chickens and pigs. The number of legs ...

algebra - Solve the following system of equations for the unknown variables. x...

Applied Social Research Method - I need some help. For a class I need to do the ...

Algebra II - Right now we're doing systems of Linear Equations in Three ...

Algebra 2 - I would really appreciate it someone helped me with this information...

inverse functions - 1-3cos=sin squared You need to define the variables, such as...