Posted by **Anonymous** on Thursday, August 9, 2012 at 9:16am.

Given the following system is consistent

x+y=1

tx+y=t

(1+t)x+2y=3

Find the exact value of t.

- Math -
**Reiny**, Thursday, August 9, 2012 at 10:31am
subtract the first from the second

xt - x = t-1

x(t-1) = t-1

x = 1, if tÂ±1

in 1st:

1+y = 1

y = 0

in the last:

(1+t)(1) + 0 = 3

1+t = 3

t = 2

- Math -
**drwls**, Thursday, August 9, 2012 at 10:35am
Subtracting the first equation from the second gives you:

t-1 = (t-1)x

Therefore x = 1.

The first equation tells you that y = 0.

The third equation requires that

1 + t = 3

t = 2

## Answer This Question

## Related Questions

- Maths - Solve the following system of linear equations by addition. Indicate ...
- Math (College Pre-Cal) - The exact conversion between the English measurement ...
- Pre-calculus - Find the value for c for which the system is consistent and ...
- Algebra-Multiple choice - Hello, I have some practice math I'm working through ...
- Math - Describe the system 6x-2y=10 and 9x-3y=8 as consistent and independent, ...
- math - An initial-value problem is given by the differential equation, f(x,y) = ...
- biology - I need a general principle found to be consistent through the ...
- Algebra - Describe the system 6x-2y=10 and 9x-3y=8 as consistent and independent...
- Math - Arithmetic & Geometric - 1) Given the terms a35 = 1238 and a70 = 1483 of ...
- Math - 1. Find the exact value of 2tan pi/12 / 1-tan^2 pi/12 root 3/3? 2. Given ...

More Related Questions