Solve for x and y : ax + by=a+b/2 and 3x+5y=4
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Answered by
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If 5a-3b=0 ---> 3x+5y=4 -->
S={ (x, (4-3x)/5) ,, xis in R}
*Else 5a-3b≠0
ax+by=s --> 5ax+5by=5s
3x+5y=4 --> 3bx+5by=4b --> (5a-3b)x=(5s-4b) -->
(5a-3b)x=(5a-3b)/2 --> x=1/2
y= (4-3/2)/5 =1/2 --> S=(1/2, 1/2)
hope this helps
S={ (x, (4-3x)/5) ,, xis in R}
*Else 5a-3b≠0
ax+by=s --> 5ax+5by=5s
3x+5y=4 --> 3bx+5by=4b --> (5a-3b)x=(5s-4b) -->
(5a-3b)x=(5a-3b)/2 --> x=1/2
y= (4-3/2)/5 =1/2 --> S=(1/2, 1/2)
hope this helps
Answered by
70
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