substitution and elimination means that you need to use one equation and substitute it in place of some variable in the other equation.
Consider the above two equations.
Take equation 1, which is 4x-2y=22 => x=(22+2y)/4
substitute the x value gained above in equation 2.
so, 2((22+2y)/4)+4y=6
22+2y+8y=12 => 10y = -10 => y= -1.
Substitute y= -1 in x value obtained in the beginning.
So, x= (22 - 2)/4 => 5.
There fore, x= 5 and y= -1
Hope it helps.
Answer:
0, π
Step-by-step explanation:
cos x sin x = sin x
cos x sin x - sin x = 0
sin x (cos x - 1) = 0
sin x = 0, x = 0, π
cos x - 1 = 0
cos x = 1, x = 0
So answers: 0, π
It would use 2.83 gallons of gas for a 2 hour trip
Packet of 12 pencils = p
Packet of 30 rulers = r
p = £2.15
r = £6.00
£35 = 4r + xp
£35 = 4(£6.00) + x(£2.15)
£35 = £24 + £2.15x
£11 = £2.15x
x = 5.12
Since she can buy 5.12 packets of pencils, it is equal to 5 packets of pencils.
2t+5v=37 and 4t+3v=39
Solve the first for t
t=18.5-2.5v and use this t in the second equation...
4(18.5-2.5v)+3v=39
74-10v+3v=39
-7v=-35
v=$5.00 and since t=18.5-2.5v
t=$6.00
So tuna sandwiches cost $6.00 and vegetarian sandwiches cost $5.00.
