Answer:
<h3>#1</h3>
<u>The system of equations:</u>
- 2x + 7y = -11
- 3x + 5y = -22
Solve by elimination.
<u>Triple the first equation, double the second one, subtract the second from the first and solve for y:</u>
- 3(2x + 7y) - 2(3x + 5y) = 3(-11) - 2(-22)
- 6x + 21y - 6x - 10y = -33 + 44
- 11y = 11
- y = 1
<u>Find x:</u>
- 2x + 7*1 = -11
- 2x = -11 - 7
- 2x = -18
- x = -9
<u>The solution is:</u>
<h3>#2</h3>
<u>Simplifying in steps:</u>
- 8u - 29 > -3(3 - 4u)
- 8u - 29 > - 9 + 12u
- 12u - 8u < -29 + 9
- 4u < -20
- u < -5
Answer:
Trevor read 157.5 pages this week.
Step-by-step explanation:
Simple multiplication.
Multiply 5 by 5 first to get 25, carry the 2 on top and then multiply 3 by 5 to get 15, make sure to add 2 to get 17. The first line should be 175.
Put a 0 on the last digit to solve for the next digit. Multiply 4 by 5 to get 20, carry the 2 on top and then multiply 3 by 4 to get 12, make sure to add 2 to get 14. The second line should be 1400.
Add the numbers up to get 1575, since there is one number behind the decimal, you should put a decimal in front of the last 5 for the answer in which it is 157.5.
Answer:
x^2 -10x - 15 = 0
(don't know how far you want me to go)
Step-by-step explanation:
(x - 5)^2 = 40
(expand the brackets)
(x - 5)(x - 5) = 40
x^2 -5x -5x + 25 = 40
x^2 -10x + 25 = 40
x^2 -10x - 15 = 0
Set 7b as a common factor and put it outside the parentheses:
7b(x+y)
Check:
7b(x+y)
Distribute the 7b
7bx+7by
Hope this helps.
One over fifthteen...................................
