I hope this helps you
x/3+y/-1=1
x/3-y=1
x-3y/3=1
x-3y=3
Answer:
23.8
Step-by-step explanation:
8.5/0.5 = 17
17 x 1.4 = 23.8
Answer:
n = 10
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
=
[ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 12 and d = 5 and
= 345, thus
[ (2 × 12) + 5(n - 1) ] = 345 ( multiply both sides by 2 )
n( 24 + 5n - 5) = 690 ← distribute and simplify left side
n(19 + 5n) = 690
19n + 5n² = 690 ( subtract 690 from both sides )
5n² + 19n - 690 = 0 ← in standard form
(5n + 69)(n - 10) = 0 ← in factored form
Equate each factor to zero and solve for n
5n + 69 = 0 ⇒ 5n = - 69 ⇒ n = - 
n - 10 = 0 ⇒ n = 10
However, n > 0 , thus n = 10
Answer:
b = 6
Step-by-step explanation:
solve the second equation for 'y':
-3x + 1/2y = -3
add 3x to each side to get:
1/2y = 3x - 3
multiply all terms by 2 to eliminate the denominator to get:
y = 6x - 6
now compare '6x-6' with '6x-b'
you want both expressions to be equal because then there are an infinite number of solutions:
b = 6