How do you solve this set of linear equations?

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

Question

How do you solve this set of linear equations?

40x + 20y = 5000
25x + 50y = 1000

anonymous · Answer

use elimination

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

Do you understand @kennybm

anonymous · Answer

Yeah I'm getting it, hang on :)

anonymous · Answer

ok ;)

anonymous · Answer

was it correct?