# math

compute x+y, given the linear system with T is not = to 1 and with the ordered pair (x,y) as solution: x+2y=3
and Tx+(T+1)y=T+2

1. 👍 0
2. 👎 0
3. 👁 91
1. multiply the first by T
Tx + 2Ty = 3T
Tx + (T+1)y = T+2
subtract ....
2Ty - (T+1)y = 3T - (T+2)
(T-1)y = 2T-2
y = 2(T-1)/(T-1) = 2

back in the first
x + 4 = 3
x = -1

then x+y = -1+2 = 1

1. 👍 0
2. 👎 0
posted by Reiny

## Similar Questions

1. ### Physics

Let mass be: m1=0.100 kg m2=0.300 kg m3=0.500 kg (a.)Compute for the acceleration of the system if the table is frictionless. (b.)Compute the acceleration of the system if the coefficient of the friction between the m2 and the

asked by frosty on September 10, 2006
2. ### college algebra

Compute x +y, given the linear system with T # 1 and with the ordered pair (x,y) as solution x + 2y=3 Tx + ( T+1)y = T + 2

asked by Mark on December 15, 2010
3. ### algebra-math

Create a system of linear equations. Explain the steps for solving a system of linear inequalities. Make a system of linear inequalities problem. Please help me with this?

asked by Mike on August 6, 2017
4. ### algebra-math

When it comes to linear inequalities, these are explained to be similar to a linear equation, but the difference between the two is that the equal signs are replaced with an inequality symbol. It is also explained that when it

asked by Mike on August 6, 2017
5. ### Maths

Solve the following system of linear equations by addition. Indicate whether the given system of linear equations is consistent, inconsistent, or dependent. If the system is consistent, find the solution. {−7x + 7y −9x + 9y ==

asked by Leticia on July 12, 2016
6. ### math

To rent a home water softnener, there is an installation fee of \$60 plus a \$ 25 monthly fee. Write a linear equaion to represent the total cost, y, of renting a water softener for x months. Use th linear equation to compute the

asked by Javeria on October 15, 2011
7. ### maths

use the substitution method to solve the linear system. 1. 3x=9 -x+2y=9 3x/3 = 9/3 x = 3 -x(3)+2y = 9 -3+2y = 9 2y = 12 y = 6 is (3,6) correct? =========== also, can you please tell me how to solve these? use the linear

asked by jenn on November 17, 2009

Write an equation that forms a system of equations with x + y = 4, so that the system has: a) No solution b) Infinitely many solutions c) One solution I know how to figure out if two linear systems have a solution, but I don't

asked by Rebecca on March 5, 2011
9. ### math

How to write three linear system that are equivalent to the linear system shown? 5x-4y= -3 2x + 7y= 5

asked by Lyn on April 9, 2015
10. ### math - plz help!!

How to write three linear system that are equivalent to the linear system shown? 5x-4y= -3 2x + 7y= 5

asked by lyn on April 10, 2015

More Similar Questions