Question 224068: 3x+y=-5 y=x+3 sove by sobstitution. express our answer Found 3 solutions by LtAurora, drj, stanbon:Answer by LtAurora(115) (Show Source): You can put this solution on YOUR website! The second given equation is already solved for , so we can plug this equation into the first to obtain: . The second equation is simply put in the place of the in the first equation.
To solve this, combine the terms on the left hand side of the equation: .
Then, subtract the 3 from both sides: .
To obtain what equals, divide both sides by 4: .
This result can then be plugged back into the second equation to determine that is equal to.
So:
Which yields: .
Our answer is then , . Answer by drj(1380) (Show Source): You can put this solution on YOUR website! 3x+y=-5
y=x+3 or -x+y=3
Solve: We'll use substitution. After moving 1*y to the right, we get: , or . Substitute that
into another equation: and simplify: So, we know that y=1. Since , x=-2.
Answer: .
ANSWER: The solution is (-2,1) or x=-2 and y=1.
I hope the above steps and explanation were helpful.
For Step-By-Step videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry please visit http://www.FreedomUniversity.TV/courses/Trigonometry.
Also, good luck in your studies and contact me at john@e-liteworks.com for your future math needs.
Respectfully,
Dr J
http://www.FreedomUniversity.TV
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website! 3x+y=-5
y=x+3
solve by substitution.
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Substitute for "y" and solve for "x":
3x + x+3 = -5
4x = -8
x = -2
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Substitute into y = x+3 to solve for "y":
y = -2+3 = 1
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Cheers,
Stan H.