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

Algebra.Com
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
-----------
Multiply each by 10 to get:
3rd: 97x-15y=627
4th:-23x-74y=84
-----------
Multiply 3rd by 74 and 4th by 15 to get:
5th: 7178x-1110y=46398
6th: -345x-1110y=1260
-------------
Subtract 6th from 5th to get:
7523x=45138
x=6
---------
Substitute x=6 into 3rd to solve for y as follows:
97(6)-15y=627
-15y=627-582=45
y=-3
-----------
Solution:
x=6, y=-3
Cheers,
Stan H.

RELATED QUESTIONS

*You want to get rid of the x by elimination in the system below. 3x + 4y = 7 4x – 2y (answered by mananth)
Hi, Can you please help? . When given the system of equations of {{{ system... (answered by checkley77)
by eliminating solve the pairs of simultaneous equation 6x-5y=-7 3x+4y=16 (answered by josgarithmetic,MathTherapy)
Solve by elimination: 1.8x + 11y= 20 5x - 11y= -59 2. 2x + 18y= -9 4x + 18y= -27 (answered by jim_thompson5910)
I'm trying to solve for addition for the following problem 2x-4y=7 4x+2y=9 I began (answered by sdmmadam@yahoo.com)
Use Cramer's Rule to solve the following pair of simultaneous linear equations: 3x = -7 (answered by mukhopadhyay)
Hey there, I have been given a simultaneous equations hwk, and have been doing fine up... (answered by ikleyn)
How would I solve these systems? 1)x+5y=4 3x-7y=-10 2)-5x+3y=6 x-y=4 (answered by elima)
Hi: I wondered if you could check this problem for me... Solve each system by the... (answered by scott8148)