<span>6x + 7y = 11 . . . . (1)
5x + 2y = 13 . . . . (2)
</span><span>
6x + 7y = 11 (multiply through by 2) </span>→ 12x + 14y = 22 (
)
<span>
5x + 2y = 13 (multiply through by 7) </span>→ 35x + 14y = 91 (
)
by subtracting (
) from (
)
⇒ (35x + 14y) - (12x + 14y) = 91 - 22
⇒ 35x - 12x + 14y - 14y = 91 - 22
⇒ 23x = 69
⇒ 23x ÷ 23 = 69 ÷ 23
∴ x = 3
By substituting found value of x into (2),
⇒ 5(3) + 2y = 13
⇒ 15 + 2y = 13
⇒ 2y = 13 - 15
2y = -2
∴ y = -1
Thus the solution to the system is (3 , -1)
B intersect C = {6}
A intersect {6} = { }
The empty set
Letter C
Answer:
1.3333333333333 in between 1 and 2
Step-by-step explanation:
Do long division
16/12=1 remainder 4
40/12=3 remainder 4
answer is 1. followed by infinite 3's
A number with a decimal is in between the next whole number and the whole number itself.
The money in bank after 4 years will be
<u>Solution:</u>
Given, Sam deposits 12,500 each year into a retirement account with a simple interest rate.
He deposits the same amount each year, we have to find the amount of money will he have at the end of his fourth year.
We know that,
So, now let us find S.I after
Then, after year he adds 12,500 again, which means amount doubles S.I also doubles as rate and time of 1 year gap are constant.
Then, S.I for
Amount and corresponding S.I for 4 years will be,
Now, total balance = amount after year + sum all simple interests made up to now.
Total balance
Answer:
csc θ = (3/2)
Step-by-step explanation:
Cosecant is just the inverse of sine