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Lelechka [254]
3 years ago
15

5x + 7y = 2 and -2x + 7y = 9

Mathematics
1 answer:
elixir [45]3 years ago
6 0

Answer:

conclusion one solution (-1 , 1)

Step-by-step explanation:

hello :

5x + 7y = 2 ...(*)

-2x + 7y = 9....(**)

by(*) and (**) calculate 7y

7y = 2-5x

7y = 9+2x

9+2x = 2-5x

2x+5x = 2-9

7x=-7   so : x= - 1

put this value in expression : 7y = 9+2x

7y = 9+2(-1)

7y =7

y =1

conclusion one solution (-1 , 1)

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The larger leg of a right triangle is 3 cm longer than its smaller leg. The hypotenuse is 6 cm longer than the smaller leg. How
dlinn [17]
For rigt triangle with legs legnth a and b and hypotnuse legnth c

a^2+b^2=c^2

we are given
larger leg is 3 longer than smaller leg
hypotnuse is 6 longer than smaller
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ok so

first pick a smaller leg
lets say b is smaller
longer leg is 3 more than shorter leg
a is 3 more than b
a=3+b
and

hypontuse is 6 more than shorter
c=6+b

sub 3+b for a and 6+b for c in oroiginal equation'

a^2+b^2=c^2
(3+b)^2+b^2=(6+b)^2
9+6b+b^2+b^2=36+12b+b^2
2b^2+6b^2+9=b^2+12b+36
minus (b^2+12b+36) from both sides
b^2-6b-27=0
factor
(b-9)(b+3)=0
set equal to zero

b-9=0
b=9

b+3=0
b=-3
fasle, legnths cannot be negative


answer is shorter side=9 cm


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3 years ago
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