SOLUTION: Solving simultaneous equations 9.7x - 1.5y = 62.7 -2.3x - 7.4y = 8.4 Multiply each by 10 to get rid of decimals Then solve for x in the second equation, so x = -74/23 X y

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Question 61545This question is from textbook Pre-Algebra
: Solving simultaneous equations
9.7x - 1.5y = 62.7
-2.3x - 7.4y = 8.4
Multiply each by 10 to get rid of decimals
Then solve for x in the second equation, so x = -74/23 X y - 840/23
Plug x into the first equation 97(-74/23 X y -840/23) - 15y = 62.7
Is this correct so far? I get bogged down in the math. Help!!! This question is from textbook Pre-Algebra

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
1st: 9.7x - 1.5y = 62.7
2nd: -2.3x - 7.4y = 8.4
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Multiply each by 10 to get:
3rd: 97x-15y=627
4th:-23x-74y=84
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Multiply 3rd by 74 and 4th by 15 to get:
5th: 7178x-1110y=46398
6th: -345x-1110y=1260
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Subtract 6th from 5th to get:
7523x=45138
x=6
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Substitute x=6 into 3rd to solve for y as follows:
97(6)-15y=627
-15y=627-582=45
y=-3
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Solution:
x=6, y=-3
Cheers,
Stan H.

SOLUTION: Solving simultaneous equations 9.7x - 1.5y = 62.7 -2.3x - 7.4y = 8.4 Multiply each by 10 to get rid of decimals Then solve for x in the second equation, so x = -74/23 X y - 840