6x-1=4x+6
subtracting 4x from each side
2x-1=6
adding 1 to each side
2x=7
divide by 2
x=7/2 or 3.5
check: 6(7/2) -1 =4(7/2)+6
21-1 =14+6
20=20 correct
Answer: 5 and 4
Step-by-step explanation: 5+2=7 amount total per person. 65-30 equals amount able to spend on people. 35÷7=5 being the largest amount possible.
Answer:
slope = - 
Step-by-step explanation:
given f(4) = 6 and f(- 2) = 8 , then 2 points on the line are
(4, 6 ) and (- 2, 8 )
calculate slope m using the slope formula
m = 
with (x₁, y₁ ) = (4, 6 ) and (x₂, y₂ ) = (- 2, 8 )
m =
=
= - 
Answer:
1. X = 17/A --- answer is (A)
2. (6, 0.7) (10, 1.9)
3. $10.99D + $9.99 ≤ $100
Step-by-step explanation:
1. AX + 4AX = 51 + 2AX
5AX = 51 + 2AX .... -2AX both side
3AX = 51 .. divide 3A
X = 17/A --- answer is (A)
2. 10y = 3x -11
(2, 0.5): 3*2 -11 = - 5 10y = 10*0.5 = 5 ..... not correct
(4, 1) 3*4 - 11 = 1 10y = 10*1 = 10 ....... not correct
(6, 0.7) 3*6 - 11 = 7 10y = 10*0.7 = 7 .....Correct
(8,2.3) 3*8 -11 = 13 10y = 10*2.3 =23 ..... not correct
(10, 1.9) 3*10 -11 = 19 10y = 10*1.9 = 19 .... correct
3. 1D cost $10.99
D piece cost: $10.99D
Shipping: $9.99
No more than $100: ≤ 100
D piece DVD + Shipping withtotal no more than $100:
$10.99D + $9.99 ≤ $100