Y= 2x+4, because when you plug in x and y you then solve for b and get 4. The 2x is the same because the slope stays the same on parallel lines.
-3b+ac=4
Move c to the left and - 3b to the right
ac-c=-4+3b
Now factor by c at the left
c(a-1)=-4+3b
Divide the right by a-1
C=(-4+3b)/(a-1)
Xy = 6
x + y = 9
x + y = 9
x - x + y = -x + 9
y = -x + 9
xy = 6
x(-x + 9) = 6
x(-x) + x(9) = 6
-x² + 9x = 6
-x² + 9x - 6 = 0
-1(x²) - 1(-9x) - 1(6) = 0
-1(x² - 9x + 6) = 0
-1 -1
x² - 9x + 6 = 0
x = -(-9) ± √((-9)² - 4(1)(6))
2(1)
x = 9 ± √(81 - 24)
2
x = 9 ± √(57)
2
x = 4.5 ± 0.5√(57)
x + y = 9
4.5 ± 0.5√(57) + y = 9
- (4.5 ± 0.5√(57)) - (4.5 ± 0.5√(57))
y = 4.5 ± 0.5√(57)
(x, y) = (4.5 ± 0.5√(57), 4.5 ± 0.5√(57))
The two numbers that multiply to 6 and add up to 9 are 4.5 ± 0.5√(57).
Answer:
<h2>She gave her brother 6 tickets</h2>
Step-by-step explanation:
This problem is on fractional numbers.
given that she has 60 tickets
1.She used 3/4 of her tickets to play game
=(3/4)*60
=180/4
=45
She is left with (60-45)= 15 tickets
2. She used 1/5 of her remaining tickets for rides
=(1/5)*15
=15/5
=3
She is left with (15-3)= 12 tickets
3. She gave half of her tickets to her brother.
= (1/2)*12
=12/2
= 6
She gave her brother 6 tickets
X + 4x = 40
5x = 40
5x/5 = 40/5
x = 8
1x 8 = 8
4x 8 = 32
Check=
8 + 32 = 40
The numbers are 8 and 32
