SOLUTION: Method of Substitution 1. Solve each linear system using the method of substitution. Check your answers. a) y=3x-4 x+y=8 Pleaseeeee and thank you very much i need it right

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Method of Substitution 1. Solve each linear system using the method of substitution. Check your answers. a) y=3x-4 x+y=8 Pleaseeeee and thank you very much i need it right      Log On


   

Question 181829: Method of Substitution
1. Solve each linear system using the method of substitution. Check your answers.
a) y=3x-4
x+y=8
Pleaseeeee and thank you very much i need it right now pleasee
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%2By=8+ Start with the second equation


x%2Bhighlight%283x-4%29=8+ Plug in highlight%28y%29=3x-4. In other words, replace every "y" with 3x-4


4x-4=8 Combine like terms


4x=12 Add 4 to both sides


x=3 Divide both sides by 4 to isolate "x"


So the first part of the answer is x=3


y=3x-4 Go back to the first equation


y=3%283%29-4 Plug in x=3


y=9-4 Multiply


y=5 Subtract

So the second part of the answer is y=5

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Answer:


So the solutions are x=3 and y=5 which form the ordered pair (3,5)


I'll let you do the check (simply plug in the two solutions and simplify)