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Question 622532: Solve the following systems of equations and state if any lines are parallel
y + 7x + 6 = 0
y = 2x + 30
Answer by math-vortex(648)   (Show Source):
You can put this solution on YOUR website! Hi, there--
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Solve the following system of equations and state if any lines are parallel.
y + 7x + 6 = 0
y = 2x + 30
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We can solve this using the substitution method. Substitute 2x+30 for y in the first equation.
y + 7x + 6 = 0
(2x + 30) + 7x + 6 = 0
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Simplify and solve for x.
9x + 36 = 0
9x = -36
x = -36/9
x = -4
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Substitute -4 for x in the second equation.
y = 2x + 30
y = 2(-4) + 30
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Simplify and solve for y.
y = -8 + 30
y = 22
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The solution to this system is the ordered pair (-4, 22). The lines are not parallel.
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It's always a good idea to check the solution in both equations.
y + 7x + 6 = 0
(22) + 7(-4) + 6 = 0
22 + -28 + 6 = 0
0 = 0 Check!
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y = 2x + 30
(22) = 2(-4) + 30
22 = -8 + 30
22 = 22 Check!
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Hope this helps! Feel free to email if there is any part you'd like to explain better.
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Ms.Figgy
math.in.the.vortex@gmail.com
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