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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:
(-2/7, 2/3)
step-by-step explanation:
-7x + 3y = 2
x = 0
-7(0) + 3y = 2
3y = 2
/3 /3
y = 2/3
y = 0
-7x + 3(0) = 2
-7x = 2
/-7 /-7
x = -2/7
(-2/7, 2/3)
The same as the greatest number that can be written
with 10 binary bits: <u>1,024</u>
