Answer:
Step-by-step explanation:
y = 1/3x + 6
y = 1/4x + 3
this is just a matter of substitution...subbing in one y for the other
y = 1/3x + 6.....so sub in 1/3x + 6 in for y, back into the second equation or u can work it the other way and sub in 1/4x + 3 in for y, back into the first equation....either way will work
1/3x + 6 = 1/4x + 3
1/3x - 1/4x = 3 - 6
4/12x - 3/12x = -3
1/12x = -3
x = -3 * 12
x = - 36
now sub that back into either of ur original equations to find y
y = 1/3x + 6
y = 1/3(-36) + 6
y = - 12 + 6
y = - 6
solution is : x = -36 and y = -6 or (-36,-6)
Longest book: 396 Shortest book: 1/4×396=99 Middle book: 3×99= 297
<span>
If the book in the middle of her shelf has three times the number of pages of the shortest book then how many pages does the middle book have?
Answer: 297</span>
Step-by-step explanation:
Given
y = x + 3.....equation 1
y = x - y
or y + y = x
or 2y = x
or y = x / 2......equation 2
Now
Putting equation 2 in equation 1
x / 2 = x + 3
x - x/2 = - 3
<u>2x</u><u> </u><u> </u><u>-</u><u> </u><u>x </u> = - 3
2
x / 2 = -3
x = - 6
Now
y = x/ 2
= - 6/2
= - 3
Hope this helps
10^38
<u>Step-by-step explanation:</u>
Given that,
10^32 x 10^6
Here the base is same (10) and the powers are 32 and 6.
These 2 bases are in multiplication form so the powers can be added up.
10^32 x 10^6 = 10^(32+6)
= 10^38
7.8 + n = 38.2
n = 38.2 - 7.8
n = 30.4
