Answer:
Step-by-step explanation:
Given: sum of the smallest integer and four times the largest integer out of three consecutive odd integers is 61
To list: numbers from least to greatest
Solution:
Let the three consecutive odd integers be 
.
According to question,
So, the integers are 
Numbers from least to the greatest:
Answer:
x = 3.25
y =4.75
Step-by-step explanation:
In order to Solve the following system of equations below algebraically using substitution method we say that;
let;
8x - 4y = 7
..................... equation 1
x + y = 8.......................... equation 2
from equation2
x + y = 8.......................... equation 2
x = 8 - y.............................. equation 3
substitute for x in equation 1
8x - 4y = 7
..................... equation 1
8(8-y) - 4y = 7
64-8y-4y=7
64-12y=7
collect the like terms
64-7 = 12y
57= 12y
divide both sides by the coefficient of y which is 12
57/12 = 12y/12
4.75 = y
y =4.75
put y = 4.75 in equation 3
x = 8 - y.............................. equation 3
x = 8 -4.75
x = 3.25
to check if your answer is correct, put the value of x and y in either equation 1 or 2
from equation 2
x + y = 8.......................... equation 2
3.25 + 4.75 =8
8=8.................... proved
Answer:
- 1/2
Step-by-step explanation:
We use the slope-intercept form to figure out our slope.
y = mx + b
Get y alone:
x + 2y = -8
2y = -x - 8
y = -x/2 - 4
Since m is the slope in y = mx + b, we can see that -1/2 is in the place of m, therefore our slope is -1/2
interesting choice of pfp
Answer:
A) x=9/2 B) x=-1/5, 1/2
Step-by-step explanation:
3x-9=27/1-5x
3x-9=27-5x
3x-(-5x)-9=27
3x+5x-9=27
8x-9=27
8x=27+9
8x=36
x=36/8
simplify
x=9/2
Answer: x=9/2
-----------------------------
10x-1/x=3
(10x^2-1)/x=3
10x^2-1=3*x
10x^2-1=3x
10x^2-3x-1=0
factor out the trinomial,
find two numbers that when they multiply,
you get the third term, which is -1 in this case.
When you add those 2 numbers, you get the second term,
which is -3 in this case.
(5x+1)(2x-1)=0
apply the zero property from here,
set 5x+1=0 and 2x-1=0 and solve for x.
5x=0-1=-1, x=-1/5,
2x=0+1=1, 2x=1, x=1/2.
So x=-1/5, 1/2.
