2(x-3)+3(y-5)=0;5(x-1)+4(y-4)=0. solve it by substitution method
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Answered by
13
Answer:
x = -3 and y = 9
Step-by-step explanation:
2(x - 3) + 3(y - 5) = 0
2x - 6 + 3y - 15 = 0
2x + 3y - 21 = 0
2x + 3y = 21 -------(1)
5(x - 1) + 4(y - 4) = 0
5x - 5 + 4y - 16 = 0
5x + 4y - 21 = 0
5x + 4y = 21 -------(2)
fron eq 2
5x = 21 - 4y
x = (21 - 4y)/5
put x in eq 1
2x + 3y = 21
2[(21 - 4y)/5] + 3y = 21
[(42 - 8y)/5] + 3y = 21
[42 - 8y + 15y]/5 = 21
42 + 7y = 21 × 5
42 + 7y = 105
7y = 105 - 42
7y = 63
y = 63/7
y = 9
put y in eq 2
5x + 4y = 21
5x + 4(9) = 21
5x + 36 = 21
5x = 21 - 36
5x = -15
x = -15/5
x = -3
Answered by
3
Answer:
,
Step-by-step explanation:
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