Product of 8 and the sum of 4 and a number:
sum of 4 and a number: (4 + n)
Product of 8
8 x (4 + n) is 112
8 x (4 + n) = 112
Distribute
32 + 8n = 112
Subtratc
8n = 80
Divide by 8
n = 10
The number is 10, and next time please put options because it says "Which equation could be used to solve for the number?" Thanks! :)
To solve this problem, you can create a system of equations and solve for each hiker's distance walked.
Hiker 1 distance walked: x
Hiker 2 distance walked: y
Their combined distance walked is 53 miles, thus -
x + y = 53
The difference between miles walked is 25, thus -
x - 25 = y
Let's solve using substitution. To do that, substitute x - 23 into x + y = 53 for y.
x + y = 53
x + (x - 25) = 53
x + x - 25 = 53
2x - 25 = 53
2x = 78
x = 39
To find y, substitute 39 for x into either of the equations.
x + y = 53
39 + y = 53
y = 14
Finally, check all work.
x + y = 53
39 + 14 = 53
53 = 53
x - 25 = y
39 - 25 = 14
14 = 14
Answer:
One hiker walked 39 miles and the other hiker walked 14 miles.
Answer:
So this is all you need to do!
Hope it helped you:)
Answer:
It has infinite solution
Step-by-step explanation:
y = 2x +10 is already in slope intercept for so we move on to 3y-6x= 30.
The slope of 3y-6x =30 is 2 and if you solve for y, it's going to be 10.
If you put it in slope intercept form, it's going to be y = 2x+10 which is the
same as the first one.
