SOLUTION: Solving Linear Equations: Use linear combinations to solve the system of linear equations. t + r = 1 2r - t = 2

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Question 131815This question is from textbook
: Solving Linear Equations:
Use linear combinations to solve the system of linear equations.

t + r = 1
2r - t = 2
This question is from textbook

Answer by ntnk(54)   (Show Source): You can put this solution on YOUR website!
In any equation, solve for one variable in terms of the other and substitute into the other equation.
If ,
then .
If and ,
then
Distributing:
Combining like terms:
Subtracting 2 from both sides:
Dividing both sides by -3: .
Substitute this back into either of the original equations to find 'r'.


Therefore, ,
so .

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