SOLUTION: solving systems of linear equations.solve by substitution 2x+y=10 3x-4y=26 y=2x+3 3x+2y=6 solving systems of linear equations.solve by addition elimination 3x-6y=5 2

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Question 188887: solving systems of linear equations.solve by substitution
2x+y=10
3x-4y=26
y=2x+3
3x+2y=6
solving systems of linear equations.solve by addition elimination
3x-6y=5
2x-4y=8

Answer by jojo14344(1513)   (Show Source): You can put this solution on YOUR website!


Solving systems of linear equations.Solve by substitution
2x+y=10, EQN 1
3x-4y=26, EQN 2

In EQN 1 we get, --> EQN 3, substitute in EQN 2



---->
, substitute in EQN 3:



Intersect at point (6,-2)
--->RED, EQN1; GREEN, EQN 2

y=2x+3, EQN 1
3x+2y=6, EQN 2

Substitute EQN 1 in EQN 2:


----> , subst. in EQN 1

---->

Intersect at point (0,3)
---> RED, EQN 1; GREEN, EQN 2


Solving systems of linear equations. Solve by addition elimination
3x-6y=5, EQN 1
2x-4y=8, EQN 2

Multiply EQN 1 by -4, EQN 2 by 6, and then "add":
x ---->
x ----->

no solution. These lines don't intersect:

We'll look for the intercepts:
In EQN 1, let fy=0
--->

let fx=0
--->


In EQN 2, let Fy=0
--->

Let fx=0
--->

---> RED, EQN 1; GREEN, EQN 2
Since they line on the same plane they are parallel


Thank you,
Jojo




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