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:
Slope Intercept: y= -3/2x+13/2. Point Slope: -3x -2y + 13=0. Standard Form: -3/2x + y = 13/2
Step-by-step explanation:
Answer:
y = 120
Step-by-step explanation:
If y = 32 when x = 8, then <em>y</em> is 4 times the number of <em>x</em>. If x = 30, then (4)30 = 120.
M + b = 67
b = 4m - 8
m + 4m - 8 = 67
5m - 8 = 67
5m = 67 + 8
5m = 75
m = 75/5
m = 15 <=== Maggie's age
b = 4m - 8
b = 4(15) - 8
b = 60 - 8
b = 52.....her brother is 52