Answer: x = 4 , y = -3
Step-by-step explanation:
Going by the Cramer's rule , we first determine the determinant by dealing with only the coefficients of x and y in the 2 x 2 matrix.
2x - 3y = 17
5x + 4y = 8
2 -3
5 4, going by the rule now, we now have
(2 x 4) - (5 x -3)
8 + 15
= 23.
Now to find the value of x , replace the constants with the coefficient of x and divide by he determinants.
17 -3
8 4
---------------
2 -3
5 4
( 17 x 4 ) - ( 8 x -3 )
---------------------------
23
= 68 + 24
------------
23
= 92/23
= 4.
x = 4
Now to find y, just repeat the process by replacing the coefficient of y with the constants.
2 17
5 8
-----------
2 -3
5 4
( 2 x 8 ) - ( 5 x 17 )
-----------------------
23
16 - 85
---------
23
= -69/23
= -3
y = -3.
check
substitute for the values in any of the equations above.
2(4) - 3(-3)
8 + 9
= 17
Answer:
A= 27500 seats, B= 14200 seats, C= 13300 seats
Step-by-step explanation:
a=b+c
a+b+c=55000 seats
30a+24b+18c=1405200 dollars
substitue a for b+c
b+c+b+c=55000
30(b+c)+24b+18c=1405200
seats 2b+2c=55000 --> divide by 2 on both sides b+c=27500 --> c=27500-b
dollars 30b+30c+24b+18c=1405200 --> 54b+48c=1405200 divide by 6 --> 9b+8c=234200
substitute c for 13750-b
9b+8(27500-b)=234200
9b+220000-8b=234,200
b=14,200 seats
c=27500-b=27500-14200=13300 seats
a=55000-b-c=55000-27500=27500 seats
0 the answer is simple as 0
this triangle is obtuse meaning the degree it's currently at is 270°
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