Question 1048537

small chair x: 30M, 75L
large chair y: = 40M, 80L
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75x + 80y = 57*60
30x + 40y =  26*60  0r    y = {{{(26*60 - 30x)/40}}} ***
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75x + 80y = 57*60
<u>-60x - 80y =  -52*60</u> Multiplying 2nd EQ by -2 to eliminate y {{{-2(26*60) = -52*60}}}
Adding EQ together:
15x = 5*60
x = 20,  the number of small chairs
***y = {{{(26*60 - 600)/40}}}= 24, the number of large chairs
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Check Answer: Checking answers using 1st EQ
75x + 80y = 57*60  
{{{75*20 + 80*24 = 57*60}}}
3420 = 3420 CHECKS!