Posted by **Anonymous** on Saturday, January 10, 2009 at 2:21pm.

I forgot how to solve for two variables... Please check if I solved both problems properly! Thank you.

Equations: (solve for t and z)

12t + 4z = 80

2t + 4z = 20

My answer: t = 2, z = 14

The steps:

(simplified it)

z = 20 - 3t, z = 5 - 0.5t

(equated both sides to isolate for t)

20 - 3t = 5 - 0.5t

t = 2

(sub t = 2 into one of the equations)

z = 20 - 3(2)

z = 14

--------

Equations: (solve for t and z)

z = 2 + 6t

z 20 - 3t

My answer: t = 2, z = 14

(I did the same steps like the previous question, my answer is kind of iffy because it's the same???)

- Basic Math -
**bobpursley**, Saturday, January 10, 2009 at 2:28pm
Your answers are wrong.

20-3t=5-.5t does NOT come out t=2

redo that. Another quick way to do this is take your original equations, subtract the second from the first, and you get

10t=60 which is pretty fast to solve in your head.

- Basic Math -
**doug**, Saturday, January 10, 2009 at 2:43pm
3

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