Answer:
(2, - 3)
Step-by-step explanation:
given the 2 equations
5x + 3y = 1 → (1)
7x + 3y = 5 → (2)
multiply all terms in (1) by - 1
- 5x - 3y = - 1 → (3)
add (2) and (3) term by term to eliminate the term in y
(7x - 5x) + (3y - 3y) = (5 - 1)
2x = 4 ( divide both sides by 2 )
x = 2
Substitute x = 2 in either (1) or (2) for corresponding value of y
(2) : 14 + 3y = 5 ( subtract 14 from both sides )
3y = - 9 ( divide both sides by 3 )
y = - 3
solution is (2, - 3)
Answer:
Below.
Step-by-step explanation:
( 1 + sin a) / (1 + csc a)
= (1 + sin a ) /( 1 + 1/ sin a)
= ( 1 + sin a) / (sin a + 1)/ (sin a)
= (sin a(1 + sin a)) / (1 + sin a)
= sin a.
tan a / sec a
= (sin a / cos a) / (1 /cos a)
= (sin a cos a) / cos a
= sin a
The two expressions are both equal to sin a:
Therefore
(1 + sin a) /( 1 + csc a) = tan a / sec a.
