Question

How do you solve this set of linear equations?

40x + 20y = 5000
25x + 50y = 1000

Answer 1

use elimination

Answer 2

\[40x+20y=5000\]
\[25x+50y=1000\]
Now multiply the first equation by -5 and the second equation by 2
\[40x+20y=5000(-5)\]
\[25x+50y=1000(2)\]

Answer 3

\[-200x-100y=-25,000\]
\[50x+100y=2000\]
the -100y and 100y cancel out

Answer 4

now bring down the -200x by subtracting 50x.
then bring down the -25,000 by subtracting 2000

Answer 5

Thanks
now you have the equation
\[-250x=-27,000\]
solve for x to get 108

Answer 6

now plug 108 back into the original equation 40x+20y=5000
solve for y:
\[40(108)+20y=5000\]
\[4320+20y=5000\]
Subtract 4320 from both sides
\[20y=680\]
y=20

Answer 7

Do you understand @kennybm

Answer 8

Yeah I'm getting it, hang on :)

Answer 9

ok ;)

Answer 10

was it correct?