SOLUTION: solve the following system of equation 2.4x-2.7y=9 -0.6x+2.8y=2

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: solve the following system of equation 2.4x-2.7y=9 -0.6x+2.8y=2      Log On


   

Question 1051154: solve the following system of equation
2.4x-2.7y=9
-0.6x+2.8y=2
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
You want if possible whole numbered or integer numbered coefficients.

24x-27y=90
8x-9y=30
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6x-28y=20
3x-14y=10
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Simplified system is system%288x-9y=30%2C3x-14y=10%29.

Your next choice is use either substitution method or elimination method.

-9y=30-8x
y=-30%2F9%2B8x%2F9
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3x-14%2830%2F9%2B8x%2F9%29=10
3x-14%2A30%2F9-14%2A8x%2F9=10
27x-14%2A30-14%2A8x=90
27x-14%2A8x=90%2B14%2A30
x%2827-14%2A8%29=90%2B420
112x=510
56x=255
x=255%2F56 or x=4%2631%2F56; Use this to find y.

y=8x%2F9-30%2F9
%288x-30%29%2F9
%288%28255%2F56%29-30%29%2F9
%28255%2F7-30%29%2F9
%28255%2F7-210%2F7%29%2F9
%2845%2F7%29%2F9
%2845%2F%287%2A9%29%29
y=5%2F7

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SOLUTION: system%28x=4%2631%2F56%2Cy=5%2F7%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

solve the following system of equation
2.4x-2.7y=9
-0.6x+2.8y=2
You need to TOTALLY IGNORE solution (If you can call it that) by JOGS/JOSG



Multiply eq (2) by 4 to create eq (3)

Add eqs (3) and (1) to eliminate s and find the value of y.

Substitute value of y into any of the 2 ORIGINAL equations to get the value of x

Correct answer: highlight_green%28matrix%282%2C1%2C+x+=+6%2C+y+=+2%29%29

Very easy and simple....Nothing complex.