SOLUTION: solve the system for all soulutions usin any suitable method y=3x+2 and x-2y=11
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Question 242759: solve the system for all soulutions usin any suitable method y=3x+2 and x-2y=11
Found 2 solutions by jim_thompson5910, blwinbbbles:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the second equation.
Plug in
Distribute.
Combine like terms on the left side.
Add to both sides.
Combine like terms on the right side.
Divide both sides by to isolate .
Reduce.
Go back to the first equation.
Plug in
Multiply
Add
So the solutions are and giving us the ordered pair (-3,-7)
Answer by blwinbbbles(106) (Show Source): You can put this solution on YOUR website!
so let's use the elimination method:
y = 3x + 2
x - 2y =11
Set both equations to y
(1) y = 3x + 2
(2) -2y = -x + 11
lets choose the y to eliminate, when we add the two equations together
so we need to make the y in equation 1 be the exact opposite of the y in equation 2...the best way to achieve this is to multiple equation 1 by the number 2, giving us
(1) 2y = 6x + 4
(2) -2y = -x + 11
then adding the equations we get:
0 = 5x + 15
sbubtract 15 from both sides
-15 = 5x
divide by 5 on both sides
-3 = x
Use one of the original equations..and plug in -3 as x..
y = 3(-3) + 2
y = -9 + 2
y = -7
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