SOLUTION: Find the solution of each system.If necessary, round answers to the nearest tenth y=1.5+2.y=2.5+14,y=-7/3x+16/3 y=4/3+38/3,y=3.2x+4.5 y=8.7x-6.1

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Find the solution of each system.If necessary, round answers to the nearest tenth y=1.5+2.y=2.5+14,y=-7/3x+16/3 y=4/3+38/3,y=3.2x+4.5 y=8.7x-6.1       Log On


   



Question 252491: Find the solution of each system.If necessary, round answers to the nearest tenth y=1.5+2.y=2.5+14,y=-7/3x+16/3 y=4/3+38/3,y=3.2x+4.5 y=8.7x-6.1

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the solution of each system.If necessary, round answers to the nearest tenth
y=1.5x+2
y=2.5x+14
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Substitute for "y" and solve for "x":
1.5x+2 = 2.5x+14
Subtract 1.5x from both sides to get:
x = -12
y = 1.5x+2 ; y = 1.5*(-12)+2 = -16
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y=-7/3x+16/3
y=4/3x+38/3
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Substitute for "y" and solve for "x":
(-7/3)x + 16/3 = (4/3)x + 38/3
Add (7/3)x to both sides to get:
(11/3)x = -22/3
x = -2
y = (4/3)(-2)+(38/3); y = 10
==============================================
y=3.2x+4.5
y=8.7x-6.1
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Substitute for "y" and solve for "x":
3.2x+4.5 = 8.7x-6.1
5.2x = 10.6
x= 53/26
y = (3.2)(53/26)+4.5; y = 1433/130
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Cheers,
Stan H.