Answer:
Step-by-step explanation:
Given equations:
y = x + 3
y = -x - 1
By comparing the above equations, we get:
x + 3 = -x - 1
Add x to both sides
<h3>x + x + 3 = -1 </h3><h3>2x + 3 = -1</h3>
Subtract 3 to both sides
2x = -1 - 3
2x = -4
Divide 2 to both sides
x = -4/2
<h3>x = -2</h3>
Substitute x = -2 in first equation.
y = x + 3
y = -2 + 3
<h3>y = 1</h3>
So,
<h3>Solution Set = {(x,y)}={(-2,1)}</h3>
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
7=x this is for the first one but you have to 1
3
=
2
1
1
3
=
x
21
31=21x
2
1
⋅
1
3
=
2
1
⋅
2
1
21
⋅
1
3
=
21
⋅
x
21
21⋅31=21⋅21x
Multiply the numbers
Cancel multiplied terms that are in the denominator
7
=
2
1
⋅
2
1
7
=
21
⋅
x
21
7=21⋅21x
7
=
7
=
x
7=x
7
=
7
=
x
7=x
<h3>
Answer: 4865</h3>
=======================================================
Explanation:
The sequence {3,11,19,...} is arithmetic since we are adding 8 to each term to get the next one
etc. This means the common difference is d = 8.
The first term is a = 3
Let's use this formula
S = n*(2*a + d(n - 1) )/2
so we can find the sum of the first n terms. In this case, n = 35
So,
S = n*(2*a + d(n - 1) )/2
S = 35*(2*3 + 8(35 - 1) )/2
S = 35*(6 + 8(34))/2
S = 35*(6 + 272)/2
S = 35*(278)/2
S = 35*139
S = 4865
Answer:
and 
.
Step-by-step explanation:
Let 
be the smaller one of the two number.
must be a positive integer. The other number would be 
.
The question states that the product of the two numbers is 
. In other words:
.
Rearrange this equation and solve for :
.
The first root of this quadratic equation would be:
.
Similarly, the second root of this quadratic equation would be:
.
Since the question requires that both numbers should be positive, 
. Therefore, only 
is valid.
Hence, the two numbers would be and 
, which is .
