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
3/9 + 1/2 = 5/6
2 1/3 + 2 1/4 = 4 and 7/12
Average = (A₁+A₂+A₃+A₄+A₅)/5. Since average = 20 (GIVEN), then:
20 = (A₁+A₂+A₃+A₄+A₅)/5
Or (A₁+A₂+A₃+A₄+A₅) = 20x5
(A₁+A₂+A₃+A₄+A₅) = 100
