solve using substitution& elimination method 2x/5+3y/4=5;3x/10+5y/8=8

1 answer

2x/5+3y/4=5
3x/10+5y/8=8

Fractions are usually messy, so let's get rid of them:

8x+15y = 100
12x+25y = 320

For substitution, note that 12x = (3/2)(8x), and since 8x = 100-15y,

(3/2)(100-15y)+25y = 320
Now you can find y, and then x.

For elimination, let's eliminate y, using LCM(15,25)=75:

40x+75y = 500
36x+75y = 960

Now subtract, and you eliminate y:
4x = -460
Now find x, and then y.
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