SOLUTION: 2/5x+3/4y=5/2
-2/3x+1/2y=3/4 find answer in substitution and show all your work
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Question 1035180: 2/5x+3/4y=5/2
-2/3x+1/2y=3/4 find answer in substitution and show all your work
Found 2 solutions by josmiceli, stanbon:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(1)
(2)
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Multiply both sides of (1) by
Multiply both sides of (2) by
---------------------------
(1)
(2)
----------------------
Add the equations
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and
(2)
(2)
(2)
(2)
----------------
check the answers:
(1)
(1)
(1)
(1)
(1)
-----------------------
You can check (2)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
find answer in substitution
2/5x+3/4y=5/2
-2/3x+1/2y=3/4
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Solve the 1st eq for "y"::
y = [(-2/5)/(3/4)]x + (5/2)/(2/5)
------
y = (-3/10)x + (25/4)
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Substitute for "y" and solve for "x"::
(-2/3)x + (1/2)[(-3/10)x + (25/4)] = (3/4)
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(-2/3)x + [(-3/20)x + (25/8)] = 3/4
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[(-2/3)-(3/20)]x = (6/8)-(25/8)
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[(-40 - 9)/60]x = (48-200)/64
(-49/60)x = (-152/64)
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x = (-60/49)(-152/64)
x = 2.908
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Solve for "y"::
y = (-3/10)x + (25/4)
y = -0.3*2.908 + 25/4
y = 5.38
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Cheers,
Stan H.
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